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Lowest common multiple (LCM)
Find the lowest common multiple (LCM) shared by two whole numbers. Review suitability for your learners before teaching.
Worksheet StudioPractice pack · Ages 13-15
Lowest common multiple (LCM)
Take your time. Show your thinking.
1. What is the lowest common multiple (LCM) of 36 and 60?
36 · 60 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 36 and 84?
36 · 84 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 10 and 14?
10 · 14 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 50 and 60?
50 · 60 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 50 and 70?
50 · 70 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 24 and 60?
24 · 60 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 30 and 40?
30 · 40 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 35 and 49?
35 · 49 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 22 and 55?
22 · 55 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 8 and 12?
8 · 12 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 4 and 14?
4 · 14 · Lowest common multiple (LCM)
12 questions · Seed 104729 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15
Lowest common multiple (LCM)
Answers and reasoning. Review before teaching.
1. What is the lowest common multiple (LCM) of 36 and 60?
180The highest common factor of 36 and 60 is 12, so LCM = (36 × 60) ÷ 12 = 180.
2. What is the lowest common multiple (LCM) of 36 and 84?
252The highest common factor of 36 and 84 is 12, so LCM = (36 × 84) ÷ 12 = 252.
3. What is the lowest common multiple (LCM) of 10 and 14?
70The highest common factor of 10 and 14 is 2, so LCM = (10 × 14) ÷ 2 = 70.
4. What is the lowest common multiple (LCM) of 12 and 30?
60The highest common factor of 12 and 30 is 6, so LCM = (12 × 30) ÷ 6 = 60.
5. What is the lowest common multiple (LCM) of 50 and 60?
300The highest common factor of 50 and 60 is 10, so LCM = (50 × 60) ÷ 10 = 300.
6. What is the lowest common multiple (LCM) of 50 and 70?
350The highest common factor of 50 and 70 is 10, so LCM = (50 × 70) ÷ 10 = 350.
7. What is the lowest common multiple (LCM) of 24 and 60?
120The highest common factor of 24 and 60 is 12, so LCM = (24 × 60) ÷ 12 = 120.
8. What is the lowest common multiple (LCM) of 30 and 40?
120The highest common factor of 30 and 40 is 10, so LCM = (30 × 40) ÷ 10 = 120.
9. What is the lowest common multiple (LCM) of 35 and 49?
245The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.
10. What is the lowest common multiple (LCM) of 22 and 55?
110The highest common factor of 22 and 55 is 11, so LCM = (22 × 55) ÷ 11 = 110.
11. What is the lowest common multiple (LCM) of 8 and 12?
24The highest common factor of 8 and 12 is 4, so LCM = (8 × 12) ÷ 4 = 24.
12. What is the lowest common multiple (LCM) of 4 and 14?
28The highest common factor of 4 and 14 is 2, so LCM = (4 × 14) ÷ 2 = 28.
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15
Lowest common multiple (LCM)
Take your time. Show your thinking.
1. What is the lowest common multiple (LCM) of 36 and 60?
36 · 60 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 36 and 84?
36 · 84 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 10 and 14?
10 · 14 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 50 and 60?
50 · 60 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 50 and 70?
50 · 70 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 24 and 60?
24 · 60 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 30 and 40?
30 · 40 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 35 and 49?
35 · 49 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 22 and 55?
22 · 55 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 8 and 12?
8 · 12 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 4 and 14?
4 · 14 · Lowest common multiple (LCM)
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15
Lowest common multiple (LCM)
Answers and reasoning. Review before teaching.
1. What is the lowest common multiple (LCM) of 36 and 60?
180The highest common factor of 36 and 60 is 12, so LCM = (36 × 60) ÷ 12 = 180.
2. What is the lowest common multiple (LCM) of 36 and 84?
252The highest common factor of 36 and 84 is 12, so LCM = (36 × 84) ÷ 12 = 252.
3. What is the lowest common multiple (LCM) of 10 and 14?
70The highest common factor of 10 and 14 is 2, so LCM = (10 × 14) ÷ 2 = 70.
4. What is the lowest common multiple (LCM) of 12 and 30?
60The highest common factor of 12 and 30 is 6, so LCM = (12 × 30) ÷ 6 = 60.
5. What is the lowest common multiple (LCM) of 50 and 60?
300The highest common factor of 50 and 60 is 10, so LCM = (50 × 60) ÷ 10 = 300.
6. What is the lowest common multiple (LCM) of 50 and 70?
350The highest common factor of 50 and 70 is 10, so LCM = (50 × 70) ÷ 10 = 350.
7. What is the lowest common multiple (LCM) of 24 and 60?
120The highest common factor of 24 and 60 is 12, so LCM = (24 × 60) ÷ 12 = 120.
8. What is the lowest common multiple (LCM) of 30 and 40?
120The highest common factor of 30 and 40 is 10, so LCM = (30 × 40) ÷ 10 = 120.
9. What is the lowest common multiple (LCM) of 35 and 49?
245The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.
10. What is the lowest common multiple (LCM) of 22 and 55?
110The highest common factor of 22 and 55 is 11, so LCM = (22 × 55) ÷ 11 = 110.
11. What is the lowest common multiple (LCM) of 8 and 12?
24The highest common factor of 8 and 12 is 4, so LCM = (8 × 12) ÷ 4 = 24.
12. What is the lowest common multiple (LCM) of 4 and 14?
28The highest common factor of 4 and 14 is 2, so LCM = (4 × 14) ÷ 2 = 28.
12 questions · Seed 104729 · Age guidance, not curriculum certification