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Calculate the Least Common Multiple or LCM of 23, 63 and 190

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The instructions to find the LCM of 23, 63 and 190 are the next:

1. Decompose all numbers into prime factors

2323
1
633
213
77
1
1902
955
1919
1

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

Prime factors of 23=23
Prime factors of 63=32 . 7
Prime factors of 190=2 . 5 . 19

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 23 , 3 , 7 , 2 , 5 , 19

Uncommon prime factors with the greatest exponent: 231, 32, 71, 21, 51, 191

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 = 231. 32. 71. 21. 51. 191 = 275310


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