Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 30​

Question

Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 30​

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Kennedy 3 months 2021-10-15T16:18:59+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-15T16:20:38+00:00

    900

    please mark me as brain list

    0
    2021-10-15T16:20:50+00:00

    Answer:

    Step-by-step explanation:

    Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 20

    First we find least number which is exactly divisible by numbers 6,9,15 and 20

    For that we need to find LCM

    6 = 2 * 3

    9 = 3 * 3

    15 = 3 * 5

    20 = 2 * 2 * 5

    LCM = 2 * 2 *  3  * 3 * 5 =  180

    LCM = 2² * 3² * 5

    To make it perfect square we need to multiply it by 5

    = 2² * 3² * 5²

    =  30²

    = 900

    900 is the least square number which is exactly divisible by each of the numbers 6,9,15 and 20

    pls mark my answer as brainlist

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