Question

find the LCM of 105,175,140​

Answer 1

Answer:

LCM(105,175,140)  

Least Common Multiple is :

     2100

Calculate Least Common Multiple for :

   105, 175 and 140

Factorize of the above numbers :

   105 = 3 • 5 • 7  

   175 = 52 • 7  

   140 = 22 • 5 • 7  

Build a prime factors table

   Number of times each prime factor

   appears in the factorization of :

Prime  

Factor   Number  

105   Number  

175   Number  

140    L.C.M  

(max)  

2 0 0 2 2

3 1 0 0 1

5 1 2 1 2

7 1 1 1 1

LCM = 22 • 3 • 52 • 7

Least Common Multiple is :

     2100

Answer 2

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LCM of 105,175,140

= 2100

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