Question

26, 14 and 91,Find the LCM of the given number by prime factorisation method.

Answer 1

♥️Hi there ♥️


First , we find the prime factorisation of 26 , 14 , 91

$26 = 2 \times 13 \\ \\ 14 = 2 \times 7 \\ \\ 91 = 7 \times 3$

2× 13× 7 = 182

182 is a L.C.M


Thanks !

Answer 2

Concept:

LCM (Least Common Multiple) of two or more numbers means the least multiple which is common of all the numbers.

Given:

The given numbers are 26, 14 and 91

Find:

We are asked to find the least common multiple (LCM) of the given three numbers using the prime factorization method.

Solution:

By prime factorization method,

26 = 1 × 2 × 13

14 = 1 × 2 × 7

91 = 1 × 7 × 13

∴ LCM = 1 × 2 × 7 × 13 = 182

Thus the Least common multiple (LCM) of 14, 26 & 91 is 182.

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