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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 9 and 12?
9 · 12 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 24 and 56?
24 · 56 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 20 and 50?
20 · 50 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 16 and 40?
16 · 40 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 8 and 10?
8 · 10 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 8 and 12?
8 · 12 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 21 and 35?
21 · 35 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 18 and 30?
18 · 30 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 20 and 70?
20 · 70 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 22 and 33?
22 · 33 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 55 and 66?
55 · 66 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 20 and 28?
20 · 28 · Lowest common multiple (LCM)
12 questions · Seed 104731 · 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 9 and 12?
36The highest common factor of 9 and 12 is 3, so LCM = (9 × 12) ÷ 3 = 36.
2. What is the lowest common multiple (LCM) of 24 and 56?
168The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.
3. What is the lowest common multiple (LCM) of 20 and 50?
100The highest common factor of 20 and 50 is 10, so LCM = (20 × 50) ÷ 10 = 100.
4. What is the lowest common multiple (LCM) of 16 and 40?
80The highest common factor of 16 and 40 is 8, so LCM = (16 × 40) ÷ 8 = 80.
5. What is the lowest common multiple (LCM) of 8 and 10?
40The highest common factor of 8 and 10 is 2, so LCM = (8 × 10) ÷ 2 = 40.
6. 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.
7. What is the lowest common multiple (LCM) of 21 and 35?
105The highest common factor of 21 and 35 is 7, so LCM = (21 × 35) ÷ 7 = 105.
8. What is the lowest common multiple (LCM) of 18 and 30?
90The highest common factor of 18 and 30 is 6, so LCM = (18 × 30) ÷ 6 = 90.
9. What is the lowest common multiple (LCM) of 20 and 70?
140The highest common factor of 20 and 70 is 10, so LCM = (20 × 70) ÷ 10 = 140.
10. What is the lowest common multiple (LCM) of 22 and 33?
66The highest common factor of 22 and 33 is 11, so LCM = (22 × 33) ÷ 11 = 66.
11. 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.
12. What is the lowest common multiple (LCM) of 20 and 28?
140The highest common factor of 20 and 28 is 4, so LCM = (20 × 28) ÷ 4 = 140.
12 questions · Seed 104731 · 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 9 and 12?
9 · 12 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 24 and 56?
24 · 56 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 20 and 50?
20 · 50 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 16 and 40?
16 · 40 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 8 and 10?
8 · 10 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 8 and 12?
8 · 12 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 21 and 35?
21 · 35 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 18 and 30?
18 · 30 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 20 and 70?
20 · 70 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 22 and 33?
22 · 33 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 55 and 66?
55 · 66 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 20 and 28?
20 · 28 · Lowest common multiple (LCM)
12 questions · Seed 104731 · 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 9 and 12?
36The highest common factor of 9 and 12 is 3, so LCM = (9 × 12) ÷ 3 = 36.
2. What is the lowest common multiple (LCM) of 24 and 56?
168The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.
3. What is the lowest common multiple (LCM) of 20 and 50?
100The highest common factor of 20 and 50 is 10, so LCM = (20 × 50) ÷ 10 = 100.
4. What is the lowest common multiple (LCM) of 16 and 40?
80The highest common factor of 16 and 40 is 8, so LCM = (16 × 40) ÷ 8 = 80.
5. What is the lowest common multiple (LCM) of 8 and 10?
40The highest common factor of 8 and 10 is 2, so LCM = (8 × 10) ÷ 2 = 40.
6. 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.
7. What is the lowest common multiple (LCM) of 21 and 35?
105The highest common factor of 21 and 35 is 7, so LCM = (21 × 35) ÷ 7 = 105.
8. What is the lowest common multiple (LCM) of 18 and 30?
90The highest common factor of 18 and 30 is 6, so LCM = (18 × 30) ÷ 6 = 90.
9. What is the lowest common multiple (LCM) of 20 and 70?
140The highest common factor of 20 and 70 is 10, so LCM = (20 × 70) ÷ 10 = 140.
10. What is the lowest common multiple (LCM) of 22 and 33?
66The highest common factor of 22 and 33 is 11, so LCM = (22 × 33) ÷ 11 = 66.
11. 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.
12. What is the lowest common multiple (LCM) of 20 and 28?
140The highest common factor of 20 and 28 is 4, so LCM = (20 × 28) ÷ 4 = 140.
12 questions · Seed 104731 · Age guidance, not curriculum certification