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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 10-12
Lowest common multiple (LCM)
Take your time. Show your thinking.
1. What is the lowest common multiple (LCM) of 15 and 35?
15 · 35 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 20 and 25?
20 · 25 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 15 and 21?
15 · 21 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 24 and 84?
24 · 84 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 12 and 28?
12 · 28 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 4 and 14?
4 · 14 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 33 and 44?
33 · 44 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 30 and 50?
30 · 50 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 36 and 48?
36 · 48 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 16 and 40?
16 · 40 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 10 and 25?
10 · 25 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)
12 questions · Seed 104730 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12
Lowest common multiple (LCM)
Answers and reasoning. Review before teaching.
1. What is the lowest common multiple (LCM) of 15 and 35?
105The highest common factor of 15 and 35 is 5, so LCM = (15 × 35) ÷ 5 = 105.
2. What is the lowest common multiple (LCM) of 20 and 25?
100The highest common factor of 20 and 25 is 5, so LCM = (20 × 25) ÷ 5 = 100.
3. What is the lowest common multiple (LCM) of 15 and 21?
105The highest common factor of 15 and 21 is 3, so LCM = (15 × 21) ÷ 3 = 105.
4. What is the lowest common multiple (LCM) of 24 and 84?
168The highest common factor of 24 and 84 is 12, so LCM = (24 × 84) ÷ 12 = 168.
5. What is the lowest common multiple (LCM) of 12 and 28?
84The highest common factor of 12 and 28 is 4, so LCM = (12 × 28) ÷ 4 = 84.
6. 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.
7. 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.
8. What is the lowest common multiple (LCM) of 30 and 50?
150The highest common factor of 30 and 50 is 10, so LCM = (30 × 50) ÷ 10 = 150.
9. What is the lowest common multiple (LCM) of 36 and 48?
144The highest common factor of 36 and 48 is 12, so LCM = (36 × 48) ÷ 12 = 144.
10. 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.
11. What is the lowest common multiple (LCM) of 10 and 25?
50The highest common factor of 10 and 25 is 5, so LCM = (10 × 25) ÷ 5 = 50.
12. 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 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12
Lowest common multiple (LCM)
Take your time. Show your thinking.
1. What is the lowest common multiple (LCM) of 15 and 35?
15 · 35 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 20 and 25?
20 · 25 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 15 and 21?
15 · 21 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 24 and 84?
24 · 84 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 12 and 28?
12 · 28 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 4 and 14?
4 · 14 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 33 and 44?
33 · 44 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 30 and 50?
30 · 50 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 36 and 48?
36 · 48 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 16 and 40?
16 · 40 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 10 and 25?
10 · 25 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 12 and 30?
12 · 30 · Lowest common multiple (LCM)
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12
Lowest common multiple (LCM)
Answers and reasoning. Review before teaching.
1. What is the lowest common multiple (LCM) of 15 and 35?
105The highest common factor of 15 and 35 is 5, so LCM = (15 × 35) ÷ 5 = 105.
2. What is the lowest common multiple (LCM) of 20 and 25?
100The highest common factor of 20 and 25 is 5, so LCM = (20 × 25) ÷ 5 = 100.
3. What is the lowest common multiple (LCM) of 15 and 21?
105The highest common factor of 15 and 21 is 3, so LCM = (15 × 21) ÷ 3 = 105.
4. What is the lowest common multiple (LCM) of 24 and 84?
168The highest common factor of 24 and 84 is 12, so LCM = (24 × 84) ÷ 12 = 168.
5. What is the lowest common multiple (LCM) of 12 and 28?
84The highest common factor of 12 and 28 is 4, so LCM = (12 × 28) ÷ 4 = 84.
6. 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.
7. 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.
8. What is the lowest common multiple (LCM) of 30 and 50?
150The highest common factor of 30 and 50 is 10, so LCM = (30 × 50) ÷ 10 = 150.
9. What is the lowest common multiple (LCM) of 36 and 48?
144The highest common factor of 36 and 48 is 12, so LCM = (36 × 48) ÷ 12 = 144.
10. 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.
11. What is the lowest common multiple (LCM) of 10 and 25?
50The highest common factor of 10 and 25 is 5, so LCM = (10 × 25) ÷ 5 = 50.
12. 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 questions · Seed 104730 · Age guidance, not curriculum certification