Middle School

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Find the LCM of 91, 143, and 169.

Answer :

Answer:

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

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Rewritten by : Barada

91 = 7×13

143 = 11×13

169 = 13²

LCM = 7×11×13² = 77×169 = 13013