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    LCM for 2, 10 and 20

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

    What's the Least Common Multiple (LCM) of 2, 10 and 20?

    Answer

    LCM of 2, 10 and 20 is
    20

    First common multiples: 20, 40, 60, …

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

    2 — prime

    10 = 2 × 5

    20 = 22 × 5

    Prime21020Highest power
    2222222
    5—555

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

    LCM = 22 × 5 = 20

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/2--10--20Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/2--10--20">What is the LCM of 2, 10 and 20? - Calculatio</a>Copy
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    What is the LCM of 2, 10 and 20? The LCM of 2, 10 and 20 is 20 — 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/2--10--20/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    251010
    261030
    271070
    281040
    291090
    2101010
    21011110
    2101260
    21013130
    2101470
    2101530
    2101680
    21017170
    2101890
    21019190
    2102020
    21021210
    21022110
    21023230
    21024120
    2102550
    21026130
    21027270
    21028140
    21029290
    2103030
    21031310
    21032160
    21033330
    21034170

    FAQ

    What's the Least Common Multiple (LCM) of 2, 10 and 20?

    LCM of 2, 10 and 20 is 20

    How to find the LCM of 2, 10 and 20 by prime factorization?

    Take every prime that appears in 2, 10 and 20 to the highest power it reaches in any one of them and multiply: 2² × 5 = 20.

    Can you get the LCM of 2, 10 and 20 two numbers at a time?

    Yes. The LCM of 2 and 10 is 10, and the LCM of 10 and 20 is 20 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 20 divisible by 2, 10 and 20?

    Yes, and by definition it is the smallest positive integer that is: 20 ÷ 2, 20 ÷ 10 and 20 ÷ 20 all come out whole. Any other common multiple of 2, 10 and 20 is a multiple of 20.