Question

Find the L.C.M by short division method78, 117, 156​

Answer 1

Answer:

Step-by-step explanation:

The instructions to find the LCM of 78, 117 and 156 are the next:

1. Decompose all numbers into prime factors

78 2 39 3 13 13 1  117 3 39 3 13 13 1  156 2 78 2 39 3 13 13 1

Answer 2

Answer:

HERE YOUR ANSWER

Step-by-step explanation:

Calculate the Least Common Multiple or LCM of 78, 117 and 156

 

The instructions to find the LCM of 78, 117 and 156 are the next:

1. Decompose all numbers into prime factors

78 2 39 3 13 13 1  117 3 39 3 13 13 1  156 2 78 2 39 3 13 13 1  

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

Prime factors of 78 = 2 . 3 . 13

Prime factors of 117 = 32 . 13

Prime factors of 156 = 22 . 3 . 13

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

Common prime factors: 3 , 13

Common prime factors with the greatest exponent: 32, 131

Uncommon prime factors: 2

Uncommon prime factors with the greatest exponent: 22

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 = 32. 131. 22 = 468