Jump to the content

Least Common Multiple

X

X

Least Common Multiple

Calculate the Least Common Multiple or LCM of 54, 64 and 188

Sponsors

The instructions to find the LCM of 54, 64 and 188 are the next:

1. Decompose all numbers into prime factors

54	2
27	3
9	3
3	3
1

64	2
32	2
16	2
8	2
4	2
2	2
1

188	2
94	2
47	47
1

2. Write all numbers as the product of its prime factors

Prime factors of 54	=	2 . 3³
Prime factors of 64	=	2⁶
Prime factors of 188	=	2² . 47

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest exponent: 2⁶

Uncommon prime factors: 3 , 47

Uncommon prime factors with the greatest exponent: 3³, 47¹

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 2⁶. 3³. 47¹ = 81216

Also calculates the:

Greatest Common Factor or GCF of 54, 64 and 188

↑ Back to top

↑ Back to top