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    LCM for 10, 20 and 40

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

    What's the Least Common Multiple (LCM) of 10, 20 and 40?

    Answer

    LCM of 10, 20 and 40 is
    40

    First common multiples: 40, 80, 120, …

    40 is divisible by all three: 40 ÷ 10 = 4, 40 ÷ 20 = 2, 40 ÷ 40 = 1 — and 4, 2 and 1 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 4 and of y/20 by 2.

    10 = 2 × 5

    20 = 22 × 5

    40 = 23 × 5

    Prime102040Highest power
    22222323
    55555

    LCM = 23 × 5 = 40

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--20--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--20--40">What is the LCM of 10, 20 and 40? - Calculatio</a>Copy
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    What is the LCM of 10, 20 and 40? The LCM of 10, 20 and 40 is 40 — 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--20--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    102025100
    102026260
    102027540
    102028140
    102029580
    10203060
    102031620
    102032160
    102033660
    102034340
    102035140
    102036180
    102037740
    102038380
    102039780
    10204040
    102041820
    102042420
    102043860
    102044220
    102045180
    102046460
    102047940
    102048240
    102049980
    102050100
    1020511,020
    102052260
    1020531,060
    102054540

    FAQ

    What's the Least Common Multiple (LCM) of 10, 20 and 40?

    LCM of 10, 20 and 40 is 40

    How to find the LCM of 10, 20 and 40 by prime factorization?

    Take every prime that appears in 10, 20 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 5 = 40.

    Can you get the LCM of 10, 20 and 40 two numbers at a time?

    Yes. The LCM of 10 and 20 is 20, and the LCM of 20 and 40 is 40 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 40 divisible by 10, 20 and 40?

    Yes, and by definition it is the smallest positive integer that is: 40 ÷ 10, 40 ÷ 20 and 40 ÷ 40 all come out whole. Any other common multiple of 10, 20 and 40 is a multiple of 40.

    See Also