The highest common factor of two numbers is 12, while lcm is 1260, both numbers are less than 200, find the two numbers​

Question

The highest common factor of two numbers is 12, while lcm is 1260, both numbers are less than 200, find the two numbers​

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Phúc Điền 3 years 2021-07-25T19:00:27+00:00 1 Answers 36 views 0

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    2021-07-25T19:02:06+00:00

    Answer:

    The two numbers are 12 and 30

    Step-by-step explanation:

    It is given that both the numbers are greater than 6

    Let the two numbers be X and Y

    As we know

    X * Y = LCM * HCF

    XY = 360

    Let us list down some combinations of X and Y and test above conditions

    There can be following pairs

    a) 6,60

    b) 18,20

    c) 24,15

    d) 12,30

    LCM of the two numbers is 60 and both the numbers are greater than 6

    So only 12, 30 satisfy the set condition.

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