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    LCM for 10, 50 and 80

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 10, 50 and 80?

    Answer

    LCM of 10, 50 and 80 is
    400

    First common multiples: 400; 800; 1,200; …

    400 is divisible by all three: 400 ÷ 10 = 40, 400 ÷ 50 = 8, 400 ÷ 80 = 5 — and 40, 8 and 5 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 40 and of y/50 by 8 and of z/80 by 5.

    10 = 2 × 5

    50 = 2 × 52

    80 = 24 × 5

    Prime105080Highest power
    2222424
    5552552

    LCM = 24 × 52 = 400

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--50--80Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--50--80">What is the LCM of 10, 50 and 80? - Calculatio</a>Copy
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    What is the LCM of 10, 50 and 80? The LCM of 10, 50 and 80 is 400 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--50--80/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    105065650
    1050661,650
    1050673,350
    1050681,700
    1050693,450
    105070350
    1050713,550
    1050721,800
    1050733,650
    1050741,850
    105075150
    1050761,900
    1050773,850
    1050781,950
    1050793,950
    105080400
    1050814,050
    1050822,050
    1050834,150
    1050842,100
    105085850
    1050862,150
    1050874,350
    1050882,200
    1050894,450
    105090450
    1050914,550
    1050922,300
    1050934,650
    1050942,350

    FAQ

    What's the Least Common Multiple (LCM) of 10, 50 and 80?

    LCM of 10, 50 and 80 is 400

    How to find the LCM of 10, 50 and 80 by prime factorization?

    Take every prime that appears in 10, 50 and 80 to the highest power it reaches in any one of them and multiply: 2⁴ × 5² = 400.

    Can you get the LCM of 10, 50 and 80 two numbers at a time?

    Yes. The LCM of 10 and 50 is 50, and the LCM of 50 and 80 is 400 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 400 divisible by 10, 50 and 80?

    Yes, and by definition it is the smallest positive integer that is: 400 ÷ 10, 400 ÷ 50 and 400 ÷ 80 all come out whole. Any other common multiple of 10, 50 and 80 is a multiple of 400.

    See Also