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15 November, 03:11

Find the LCM of 91, 143 and 169

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Answers (2)
  1. 15 November, 03:25
    0
    91 = 7*13

    143 = 11*13

    169 = 13²

    LCM = 7*11*13² = 77*169 = 13013
  2. 15 November, 03:29
    0
    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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