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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 40 and 50?
40 · 50 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 25 and 35?
25 · 35 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 48 and 84?
48 · 84 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 30 and 70?
30 · 70 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 55 and 66?
55 · 66 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 6 and 10?
6 · 10 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 16 and 24?
16 · 24 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 10 and 12?
10 · 12 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 12 and 20?
12 · 20 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 4 and 10?
4 · 10 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 15 and 25?
15 · 25 · Lowest common multiple (LCM)
12 questions · Seed 67 · 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 40 and 50?
200The highest common factor of 40 and 50 is 10, so LCM = (40 × 50) ÷ 10 = 200.
2. What is the lowest common multiple (LCM) of 25 and 35?
175The highest common factor of 25 and 35 is 5, so LCM = (25 × 35) ÷ 5 = 175.
3. What is the lowest common multiple (LCM) of 48 and 84?
336The highest common factor of 48 and 84 is 12, so LCM = (48 × 84) ÷ 12 = 336.
4. What is the lowest common multiple (LCM) of 30 and 70?
210The highest common factor of 30 and 70 is 10, so LCM = (30 × 70) ÷ 10 = 210.
5. What is the lowest common multiple (LCM) of 55 and 66?
330The highest common factor of 55 and 66 is 11, so LCM = (55 × 66) ÷ 11 = 330.
6. What is the lowest common multiple (LCM) of 6 and 10?
30The highest common factor of 6 and 10 is 2, so LCM = (6 × 10) ÷ 2 = 30.
7. What is the lowest common multiple (LCM) of 16 and 24?
48The highest common factor of 16 and 24 is 8, so LCM = (16 × 24) ÷ 8 = 48.
8. 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.
9. What is the lowest common multiple (LCM) of 10 and 12?
60The highest common factor of 10 and 12 is 2, so LCM = (10 × 12) ÷ 2 = 60.
10. What is the lowest common multiple (LCM) of 12 and 20?
60The highest common factor of 12 and 20 is 4, so LCM = (12 × 20) ÷ 4 = 60.
11. What is the lowest common multiple (LCM) of 4 and 10?
20The highest common factor of 4 and 10 is 2, so LCM = (4 × 10) ÷ 2 = 20.
12. What is the lowest common multiple (LCM) of 15 and 25?
75The highest common factor of 15 and 25 is 5, so LCM = (15 × 25) ÷ 5 = 75.
12 questions · Seed 67 · 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 40 and 50?
40 · 50 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 25 and 35?
25 · 35 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 48 and 84?
48 · 84 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 30 and 70?
30 · 70 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 55 and 66?
55 · 66 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 6 and 10?
6 · 10 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 16 and 24?
16 · 24 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 10 and 12?
10 · 12 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 12 and 20?
12 · 20 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 4 and 10?
4 · 10 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 15 and 25?
15 · 25 · Lowest common multiple (LCM)
12 questions · Seed 67 · 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 40 and 50?
200The highest common factor of 40 and 50 is 10, so LCM = (40 × 50) ÷ 10 = 200.
2. What is the lowest common multiple (LCM) of 25 and 35?
175The highest common factor of 25 and 35 is 5, so LCM = (25 × 35) ÷ 5 = 175.
3. What is the lowest common multiple (LCM) of 48 and 84?
336The highest common factor of 48 and 84 is 12, so LCM = (48 × 84) ÷ 12 = 336.
4. What is the lowest common multiple (LCM) of 30 and 70?
210The highest common factor of 30 and 70 is 10, so LCM = (30 × 70) ÷ 10 = 210.
5. What is the lowest common multiple (LCM) of 55 and 66?
330The highest common factor of 55 and 66 is 11, so LCM = (55 × 66) ÷ 11 = 330.
6. What is the lowest common multiple (LCM) of 6 and 10?
30The highest common factor of 6 and 10 is 2, so LCM = (6 × 10) ÷ 2 = 30.
7. What is the lowest common multiple (LCM) of 16 and 24?
48The highest common factor of 16 and 24 is 8, so LCM = (16 × 24) ÷ 8 = 48.
8. 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.
9. What is the lowest common multiple (LCM) of 10 and 12?
60The highest common factor of 10 and 12 is 2, so LCM = (10 × 12) ÷ 2 = 60.
10. What is the lowest common multiple (LCM) of 12 and 20?
60The highest common factor of 12 and 20 is 4, so LCM = (12 × 20) ÷ 4 = 60.
11. What is the lowest common multiple (LCM) of 4 and 10?
20The highest common factor of 4 and 10 is 2, so LCM = (4 × 10) ÷ 2 = 20.
12. What is the lowest common multiple (LCM) of 15 and 25?
75The highest common factor of 15 and 25 is 5, so LCM = (15 × 25) ÷ 5 = 75.
12 questions · Seed 67 · Age guidance, not curriculum certification