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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 33 and 44?
33 · 44 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 36 and 63?
36 · 63 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 14 and 35?
14 · 35 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 18 and 45?
18 · 45 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 14 and 49?
14 · 49 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 24 and 56?
24 · 56 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 12 and 21?
12 · 21 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 21 and 49?
21 · 49 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 16 and 56?
16 · 56 · 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 6 and 8?
6 · 8 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 27 and 36?
27 · 36 · Lowest common multiple (LCM)
12 questions · Seed 44 · 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 33 and 44?
132The highest common factor of 33 and 44 is 11, so LCM = (33 × 44) ÷ 11 = 132.
2. What is the lowest common multiple (LCM) of 36 and 63?
252The highest common factor of 36 and 63 is 9, so LCM = (36 × 63) ÷ 9 = 252.
3. What is the lowest common multiple (LCM) of 14 and 35?
70The highest common factor of 14 and 35 is 7, so LCM = (14 × 35) ÷ 7 = 70.
4. What is the lowest common multiple (LCM) of 18 and 45?
90The highest common factor of 18 and 45 is 9, so LCM = (18 × 45) ÷ 9 = 90.
5. What is the lowest common multiple (LCM) of 14 and 49?
98The highest common factor of 14 and 49 is 7, so LCM = (14 × 49) ÷ 7 = 98.
6. 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.
7. What is the lowest common multiple (LCM) of 12 and 21?
84The highest common factor of 12 and 21 is 3, so LCM = (12 × 21) ÷ 3 = 84.
8. What is the lowest common multiple (LCM) of 21 and 49?
147The highest common factor of 21 and 49 is 7, so LCM = (21 × 49) ÷ 7 = 147.
9. 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.
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 6 and 8?
24The highest common factor of 6 and 8 is 2, so LCM = (6 × 8) ÷ 2 = 24.
12. What is the lowest common multiple (LCM) of 27 and 36?
108The highest common factor of 27 and 36 is 9, so LCM = (27 × 36) ÷ 9 = 108.
12 questions · Seed 44 · 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 33 and 44?
33 · 44 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 36 and 63?
36 · 63 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 14 and 35?
14 · 35 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 18 and 45?
18 · 45 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 14 and 49?
14 · 49 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 24 and 56?
24 · 56 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 12 and 21?
12 · 21 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 21 and 49?
21 · 49 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 16 and 56?
16 · 56 · 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 6 and 8?
6 · 8 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 27 and 36?
27 · 36 · Lowest common multiple (LCM)
12 questions · Seed 44 · 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 33 and 44?
132The highest common factor of 33 and 44 is 11, so LCM = (33 × 44) ÷ 11 = 132.
2. What is the lowest common multiple (LCM) of 36 and 63?
252The highest common factor of 36 and 63 is 9, so LCM = (36 × 63) ÷ 9 = 252.
3. What is the lowest common multiple (LCM) of 14 and 35?
70The highest common factor of 14 and 35 is 7, so LCM = (14 × 35) ÷ 7 = 70.
4. What is the lowest common multiple (LCM) of 18 and 45?
90The highest common factor of 18 and 45 is 9, so LCM = (18 × 45) ÷ 9 = 90.
5. What is the lowest common multiple (LCM) of 14 and 49?
98The highest common factor of 14 and 49 is 7, so LCM = (14 × 49) ÷ 7 = 98.
6. 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.
7. What is the lowest common multiple (LCM) of 12 and 21?
84The highest common factor of 12 and 21 is 3, so LCM = (12 × 21) ÷ 3 = 84.
8. What is the lowest common multiple (LCM) of 21 and 49?
147The highest common factor of 21 and 49 is 7, so LCM = (21 × 49) ÷ 7 = 147.
9. 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.
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 6 and 8?
24The highest common factor of 6 and 8 is 2, so LCM = (6 × 8) ÷ 2 = 24.
12. What is the lowest common multiple (LCM) of 27 and 36?
108The highest common factor of 27 and 36 is 9, so LCM = (27 × 36) ÷ 9 = 108.
12 questions · Seed 44 · Age guidance, not curriculum certification