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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 60 and 72?
60 · 72 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 8 and 10?
8 · 10 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 33 and 55?
33 · 55 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 16 and 56?
16 · 56 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 24 and 60?
24 · 60 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 40 and 50?
40 · 50 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 60 and 84?
60 · 84 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 33 and 44?
33 · 44 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 15 and 20?
15 · 20 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 20 and 70?
20 · 70 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 9 and 21?
9 · 21 · Lowest common multiple (LCM)
12 questions · Seed 65 · 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 60 and 72?
360The highest common factor of 60 and 72 is 12, so LCM = (60 × 72) ÷ 12 = 360.
2. 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.
3. What is the lowest common multiple (LCM) of 33 and 55?
165The highest common factor of 33 and 55 is 11, so LCM = (33 × 55) ÷ 11 = 165.
4. What is the lowest common multiple (LCM) of 16 and 56?
112The highest common factor of 16 and 56 is 8, so LCM = (16 × 56) ÷ 8 = 112.
5. 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.
6. 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.
7. What is the lowest common multiple (LCM) of 60 and 84?
420The highest common factor of 60 and 84 is 12, so LCM = (60 × 84) ÷ 12 = 420.
8. What is the lowest common multiple (LCM) of 33 and 44?
132The highest common factor of 33 and 44 is 11, so LCM = (33 × 44) ÷ 11 = 132.
9. What is the lowest common multiple (LCM) of 15 and 20?
60The highest common factor of 15 and 20 is 5, so LCM = (15 × 20) ÷ 5 = 60.
10. 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.
11. 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.
12. What is the lowest common multiple (LCM) of 9 and 21?
63The highest common factor of 9 and 21 is 3, so LCM = (9 × 21) ÷ 3 = 63.
12 questions · Seed 65 · 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 60 and 72?
60 · 72 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 8 and 10?
8 · 10 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 33 and 55?
33 · 55 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 16 and 56?
16 · 56 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 24 and 60?
24 · 60 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 40 and 50?
40 · 50 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 60 and 84?
60 · 84 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 33 and 44?
33 · 44 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 15 and 20?
15 · 20 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 20 and 70?
20 · 70 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 9 and 21?
9 · 21 · Lowest common multiple (LCM)
12 questions · Seed 65 · 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 60 and 72?
360The highest common factor of 60 and 72 is 12, so LCM = (60 × 72) ÷ 12 = 360.
2. 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.
3. What is the lowest common multiple (LCM) of 33 and 55?
165The highest common factor of 33 and 55 is 11, so LCM = (33 × 55) ÷ 11 = 165.
4. What is the lowest common multiple (LCM) of 16 and 56?
112The highest common factor of 16 and 56 is 8, so LCM = (16 × 56) ÷ 8 = 112.
5. 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.
6. 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.
7. What is the lowest common multiple (LCM) of 60 and 84?
420The highest common factor of 60 and 84 is 12, so LCM = (60 × 84) ÷ 12 = 420.
8. What is the lowest common multiple (LCM) of 33 and 44?
132The highest common factor of 33 and 44 is 11, so LCM = (33 × 44) ÷ 11 = 132.
9. What is the lowest common multiple (LCM) of 15 and 20?
60The highest common factor of 15 and 20 is 5, so LCM = (15 × 20) ÷ 5 = 60.
10. 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.
11. 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.
12. What is the lowest common multiple (LCM) of 9 and 21?
63The highest common factor of 9 and 21 is 3, so LCM = (9 × 21) ÷ 3 = 63.
12 questions · Seed 65 · Age guidance, not curriculum certification