Menu Search
Jump to the content
X
X

Calculate the Least Common Multiple or LCM of 12, 60, 45 and 3

Sponsors

The instructions to find the LCM of 12, 60, 45 and 3 are the next:

1. Decompose all numbers into prime factors

122
62
33
1
602
302
153
55
1
453
153
55
1
33
1

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

Prime factors of 12=22 . 3
Prime factors of 60=22 . 3 . 5
Prime factors of 45=32 . 5
Prime factors of 3=3

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

Common prime factors: 3

Common prime factors with the greatest exponent: 32

Uncommon prime factors: 2 , 5

Uncommon prime factors with the greatest exponent: 22, 51

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 = 32. 22. 51 = 180


Also calculates the:

↑ Back to top

↑ Back to top