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Calculate the Least Common Multiple or LCM of 186 and 248

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The instructions to find the LCM of 186 and 248 are the next:

1. Decompose all numbers into prime factors

1862
933
3131
1
2482
1242
622
3131
1

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

Prime factors of 186=2 . 3 . 31
Prime factors of 248=23 . 31

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

Common prime factors: 2 , 31

Common prime factors with the greatest exponent: 23, 311

Uncommon prime factors: 3

Uncommon prime factors with the greatest exponent: 31

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 = 23. 311. 31 = 744


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