Menu Search
Jump to the content
X
X

Calculate the Least Common Multiple or LCM of 45, 81, 90 and 102

Sponsors

The instructions to find the LCM of 45, 81, 90 and 102 are the next:

1. Decompose all numbers into prime factors

453
153
55
1
813
273
93
33
1
902
453
153
55
1
1022
513
1717
1

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

Prime factors of 45=32 . 5
Prime factors of 81=34
Prime factors of 90=2 . 32 . 5
Prime factors of 102=2 . 3 . 17

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

Common prime factors: 3

Common prime factors with the greatest exponent: 34

Uncommon prime factors: 5 , 2 , 17

Uncommon prime factors with the greatest exponent: 51, 21, 171

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 = 34. 51. 21. 171 = 13770


Also calculates the:

↑ Back to top

↑ Back to top