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    LCM for 4, 10 and 16

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

    What's the Least Common Multiple (LCM) of 4, 10 and 16?

    Answer

    LCM of 4, 10 and 16 is
    80

    First common multiples: 80, 160, 240, …

    80 is divisible by all three: 80 ÷ 4 = 20, 80 ÷ 10 = 8, 80 ÷ 16 = 5 — and 20, 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/4 by 20 and of y/10 by 8 and of z/16 by 5.

    4 = 22

    10 = 2 × 5

    16 = 24

    Prime41016Highest power
    22222424
    5—5—5

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 24 × 5 = 80

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--10--16Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--10--16">What is the LCM of 4, 10 and 16? - Calculatio</a>Copy
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    What is the LCM of 4, 10 and 16? The LCM of 4, 10 and 16 is 80 — 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/4--10--16/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    141020
    241020
    341060
    441020
    451020
    461060
    4710140
    481040
    4910180
    4101020
    41011220
    4101260
    41013260
    41014140
    4101560
    4101680
    41017340
    41018180
    41019380
    4102020
    41021420
    41022220
    41023460
    41024120
    41025100
    41026260
    41027540
    41028140
    41029580
    4103060

    FAQ

    What's the Least Common Multiple (LCM) of 4, 10 and 16?

    LCM of 4, 10 and 16 is 80

    How to find the LCM of 4, 10 and 16 by prime factorization?

    Take every prime that appears in 4, 10 and 16 to the highest power it reaches in any one of them and multiply: 2⁴ × 5 = 80.

    Can you get the LCM of 4, 10 and 16 two numbers at a time?

    Yes. The LCM of 4 and 10 is 20, and the LCM of 20 and 16 is 80 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 80 divisible by 4, 10 and 16?

    Yes, and by definition it is the smallest positive integer that is: 80 ÷ 4, 80 ÷ 10 and 80 ÷ 16 all come out whole. Any other common multiple of 4, 10 and 16 is a multiple of 80.

    See Also