Question

find L.C.M of 175,168,350

Answer 1

hope it helps you...

Answer 2

Least Common Factor (LCM)

The LCM of two or more  given numbers is the least number which is exactly divisible by each one of them.

Example :- 10 is the common multiple of 2 and 5

                35 is the common multiple of 5 and 7 etc.  

Methods for finding LCM

( i )  By Factorization method

According to this method, firstly we have to write down the prime factors of the given number. Then, the LCM is the product of the highest powers of all the factors.

( ii ) By Prime Factors Method

According to this method, firstly we have to resolve the given numbers into their prime factors and then find the product of the highest power of all the factors that occur in the given numbers.

Following are the LCM of 175, 168, 350 :-

$\begin{array}{r | 1} 2 & 175, 168, 350 \\ \cline{2-2} 2 & 175, 84, 175 \\ \cline{2-2} 2 & 175, 42, 175 \\ \cline{2-2} 3 & 175, 21, 175 \\ \cline{2-2} 5 & 175, 7, 175 \\ \cline{2-2} 5 & 35, 7, 35 \\ \cline{2-2} 7 & 7, 7, 7 \\ \cline{2-2} & 1, 1, 1 \end{array}$

   2×2×2×3×5×5×7 = 4200

∴ LCM of  175, 168 and 350 is 4200