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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 21?
9 · 21 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 8 and 28?
8 · 28 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 6 and 15?
6 · 15 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 22 and 55?
22 · 55 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 33 and 77?
33 · 77 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 21 and 35?
21 · 35 · 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 24 and 56?
24 · 56 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 40 and 48?
40 · 48 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 45 and 54?
45 · 54 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 24 and 32?
24 · 32 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 40 and 50?
40 · 50 · Lowest common multiple (LCM)
12 questions · Seed 104737 · 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 21?
63The highest common factor of 9 and 21 is 3, so LCM = (9 × 21) ÷ 3 = 63.
2. What is the lowest common multiple (LCM) of 8 and 28?
56The highest common factor of 8 and 28 is 4, so LCM = (8 × 28) ÷ 4 = 56.
3. What is the lowest common multiple (LCM) of 6 and 15?
30The highest common factor of 6 and 15 is 3, so LCM = (6 × 15) ÷ 3 = 30.
4. 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.
5. What is the lowest common multiple (LCM) of 33 and 77?
231The highest common factor of 33 and 77 is 11, so LCM = (33 × 77) ÷ 11 = 231.
6. 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.
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 24 and 56?
168The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.
9. What is the lowest common multiple (LCM) of 40 and 48?
240The highest common factor of 40 and 48 is 8, so LCM = (40 × 48) ÷ 8 = 240.
10. What is the lowest common multiple (LCM) of 45 and 54?
270The highest common factor of 45 and 54 is 9, so LCM = (45 × 54) ÷ 9 = 270.
11. What is the lowest common multiple (LCM) of 24 and 32?
96The highest common factor of 24 and 32 is 8, so LCM = (24 × 32) ÷ 8 = 96.
12. 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.
12 questions · Seed 104737 · 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 21?
9 · 21 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 8 and 28?
8 · 28 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 6 and 15?
6 · 15 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 22 and 55?
22 · 55 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 33 and 77?
33 · 77 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 21 and 35?
21 · 35 · 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 24 and 56?
24 · 56 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 40 and 48?
40 · 48 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 45 and 54?
45 · 54 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 24 and 32?
24 · 32 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 40 and 50?
40 · 50 · Lowest common multiple (LCM)
12 questions · Seed 104737 · 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 21?
63The highest common factor of 9 and 21 is 3, so LCM = (9 × 21) ÷ 3 = 63.
2. What is the lowest common multiple (LCM) of 8 and 28?
56The highest common factor of 8 and 28 is 4, so LCM = (8 × 28) ÷ 4 = 56.
3. What is the lowest common multiple (LCM) of 6 and 15?
30The highest common factor of 6 and 15 is 3, so LCM = (6 × 15) ÷ 3 = 30.
4. 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.
5. What is the lowest common multiple (LCM) of 33 and 77?
231The highest common factor of 33 and 77 is 11, so LCM = (33 × 77) ÷ 11 = 231.
6. 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.
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 24 and 56?
168The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.
9. What is the lowest common multiple (LCM) of 40 and 48?
240The highest common factor of 40 and 48 is 8, so LCM = (40 × 48) ÷ 8 = 240.
10. What is the lowest common multiple (LCM) of 45 and 54?
270The highest common factor of 45 and 54 is 9, so LCM = (45 × 54) ÷ 9 = 270.
11. What is the lowest common multiple (LCM) of 24 and 32?
96The highest common factor of 24 and 32 is 8, so LCM = (24 × 32) ÷ 8 = 96.
12. 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.
12 questions · Seed 104737 · Age guidance, not curriculum certification