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Calculate the Least Common Multiple or LCM of 705

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The instructions to find the LCM of 705 are the next:

1. Decompose all numbers into prime factors

7053
2355
4747
1

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

Prime factors of 705=3 . 5 . 47

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

Common prime factors: 3 , 5 , 47

Common prime factors with the greatest exponent: 31, 51, 471

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

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 = 31. 51. 471 = 705


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