Least Common Multiple (LCM) Worksheet
Practice finding the least common multiple (LCM) of numbers using various methods.
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Least Common Multiple (LCM) Worksheet
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Read each question carefully and find the Least Common Multiple (LCM) for the given numbers. Show your work where applicable.
1. The smallest positive integer that is a multiple of two or more integers is called the .
2. To find the LCM using prime factorization, you multiply the highest powers of all factors.
3. The LCM of two prime numbers is their .
Find the LCM of the following numbers by listing their multiples:
4. Find the LCM of 6 and 8.
5. Find the LCM of 4, 6, and 9.
Find the LCM of the following numbers using the prime factorization method:
6. Find the LCM of 12 and 18.
7. Find the LCM of 15, 20, and 25.
8. What is the LCM of 7 and 11?
1
11
77
7
9. Which of the following pairs of numbers has an LCM of 30?
3 and 5
6 and 10
2 and 15
All of the above
10. The LCM of two numbers is always greater than or equal to both numbers.
True
False
11. If two numbers are relatively prime, their LCM is their product.
True
False
Solve the following word problems:
12. Two bells ring at intervals of 4 minutes and 6 minutes respectively. If they ring together at 10:00 AM, when will they ring together again?
13. Sarah buys hot dogs in packages of 10 and hot dog buns in packages of 8. What is the least number of hot dogs and buns she can buy to have an equal number of each?
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