Find the LCM of 91, 143 and 169

91 = 7*13

143 = 11*13

169 = 13²

LCM = 7*11*13² = 77*169 = 13013

13013

Step-by-step explanation:

Express each number in terms of the product of prime numbers.

91 = 7 * 13

143 = 11 * 13

169 = 13 * 13

Now consider the maximum number of times each factor occurs for each number.

The factor 7 occurs once

The factor 11 occurs once

The factor 13 is repeated twice (maximum number of times for 1 number)

Thus LCM = 7 * 11 * 13 * 13 = 13013