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Calculate the Least Common Multiple or LCM of 209, 247 and 323

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The instructions to find the LCM of 209, 247 and 323 are the next:

1. Decompose all numbers into prime factors

20911
1919
1
24713
1919
1
32317
1919
1

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

Prime factors of 209=11 . 19
Prime factors of 247=13 . 19
Prime factors of 323=17 . 19

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

Common prime factors: 19

Common prime factors with the greatest exponent: 191

Uncommon prime factors: 11 , 13 , 17

Uncommon prime factors with the greatest exponent: 111, 131, 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 = 191. 111. 131. 171 = 46189


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