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Calculate the Least Common Multiple or LCM of 154, 312 and 467

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The instructions to find the LCM of 154, 312 and 467 are the next:

1. Decompose all numbers into prime factors

1542
777
1111
1
3122
1562
782
393
1313
1
467467
1

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

Prime factors of 154=2 . 7 . 11
Prime factors of 312=23 . 3 . 13
Prime factors of 467=467

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: 2 , 7 , 11 , 3 , 13 , 467

Uncommon prime factors with the greatest exponent: 23, 71, 111, 31, 131, 4671

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. 71. 111. 31. 131. 4671 = 11219208


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