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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 25 and 30?
25 · 30 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 55 and 77?
55 · 77 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 20 and 35?
20 · 35 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 8 and 20?
8 · 20 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 35 and 49?
35 · 49 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 24 and 84?
24 · 84 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 22 and 77?
22 · 77 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 45 and 63?
45 · 63 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 18 and 30?
18 · 30 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 24 and 36?
24 · 36 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 9 and 12?
9 · 12 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 35 and 42?
35 · 42 · Lowest common multiple (LCM)
12 questions · Seed 104736 · 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 25 and 30?
150The highest common factor of 25 and 30 is 5, so LCM = (25 × 30) ÷ 5 = 150.
2. What is the lowest common multiple (LCM) of 55 and 77?
385The highest common factor of 55 and 77 is 11, so LCM = (55 × 77) ÷ 11 = 385.
3. What is the lowest common multiple (LCM) of 20 and 35?
140The highest common factor of 20 and 35 is 5, so LCM = (20 × 35) ÷ 5 = 140.
4. What is the lowest common multiple (LCM) of 8 and 20?
40The highest common factor of 8 and 20 is 4, so LCM = (8 × 20) ÷ 4 = 40.
5. What is the lowest common multiple (LCM) of 35 and 49?
245The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.
6. 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.
7. What is the lowest common multiple (LCM) of 22 and 77?
154The highest common factor of 22 and 77 is 11, so LCM = (22 × 77) ÷ 11 = 154.
8. What is the lowest common multiple (LCM) of 45 and 63?
315The highest common factor of 45 and 63 is 9, so LCM = (45 × 63) ÷ 9 = 315.
9. 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.
10. What is the lowest common multiple (LCM) of 24 and 36?
72The highest common factor of 24 and 36 is 12, so LCM = (24 × 36) ÷ 12 = 72.
11. 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.
12. What is the lowest common multiple (LCM) of 35 and 42?
210The highest common factor of 35 and 42 is 7, so LCM = (35 × 42) ÷ 7 = 210.
12 questions · Seed 104736 · 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 25 and 30?
25 · 30 · Lowest common multiple (LCM)2. What is the lowest common multiple (LCM) of 55 and 77?
55 · 77 · Lowest common multiple (LCM)3. What is the lowest common multiple (LCM) of 20 and 35?
20 · 35 · Lowest common multiple (LCM)4. What is the lowest common multiple (LCM) of 8 and 20?
8 · 20 · Lowest common multiple (LCM)5. What is the lowest common multiple (LCM) of 35 and 49?
35 · 49 · Lowest common multiple (LCM)6. What is the lowest common multiple (LCM) of 24 and 84?
24 · 84 · Lowest common multiple (LCM)7. What is the lowest common multiple (LCM) of 22 and 77?
22 · 77 · Lowest common multiple (LCM)8. What is the lowest common multiple (LCM) of 45 and 63?
45 · 63 · Lowest common multiple (LCM)9. What is the lowest common multiple (LCM) of 18 and 30?
18 · 30 · Lowest common multiple (LCM)10. What is the lowest common multiple (LCM) of 24 and 36?
24 · 36 · Lowest common multiple (LCM)11. What is the lowest common multiple (LCM) of 9 and 12?
9 · 12 · Lowest common multiple (LCM)12. What is the lowest common multiple (LCM) of 35 and 42?
35 · 42 · Lowest common multiple (LCM)
12 questions · Seed 104736 · 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 25 and 30?
150The highest common factor of 25 and 30 is 5, so LCM = (25 × 30) ÷ 5 = 150.
2. What is the lowest common multiple (LCM) of 55 and 77?
385The highest common factor of 55 and 77 is 11, so LCM = (55 × 77) ÷ 11 = 385.
3. What is the lowest common multiple (LCM) of 20 and 35?
140The highest common factor of 20 and 35 is 5, so LCM = (20 × 35) ÷ 5 = 140.
4. What is the lowest common multiple (LCM) of 8 and 20?
40The highest common factor of 8 and 20 is 4, so LCM = (8 × 20) ÷ 4 = 40.
5. What is the lowest common multiple (LCM) of 35 and 49?
245The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.
6. 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.
7. What is the lowest common multiple (LCM) of 22 and 77?
154The highest common factor of 22 and 77 is 11, so LCM = (22 × 77) ÷ 11 = 154.
8. What is the lowest common multiple (LCM) of 45 and 63?
315The highest common factor of 45 and 63 is 9, so LCM = (45 × 63) ÷ 9 = 315.
9. 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.
10. What is the lowest common multiple (LCM) of 24 and 36?
72The highest common factor of 24 and 36 is 12, so LCM = (24 × 36) ÷ 12 = 72.
11. 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.
12. What is the lowest common multiple (LCM) of 35 and 42?
210The highest common factor of 35 and 42 is 7, so LCM = (35 × 42) ÷ 7 = 210.
12 questions · Seed 104736 · Age guidance, not curriculum certification