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    LCM for 20, 30 and 40

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

    What's the Least Common Multiple (LCM) of 20, 30 and 40?

    Answer

    LCM of 20, 30 and 40 is
    120

    First common multiples: 120, 240, 360, …

    120 is divisible by all three: 120 ÷ 20 = 6, 120 ÷ 30 = 4, 120 ÷ 40 = 3 — and 6, 4 and 3 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/20 by 6 and of y/30 by 4 and of z/40 by 3.

    20 = 22 × 5

    30 = 2 × 3 × 5

    40 = 23 × 5

    Prime203040Highest power
    22222323
    3—3—3
    55555

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

    LCM = 23 × 3 × 5 = 120

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--30--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--30--40">What is the LCM of 20, 30 and 40? - Calculatio</a>Copy
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    What is the LCM of 20, 30 and 40? The LCM of 20, 30 and 40 is 120 — 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/20--30--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    202530300
    202630780
    202730540
    202830420
    2029301,740
    20303060
    2030311,860
    203032480
    203033660
    2030341,020
    203035420
    203036180
    2030372,220
    2030381,140
    203039780
    203040120
    2030412,460
    203042420
    2030432,580
    203044660
    203045180
    2030461,380
    2030472,820
    203048240
    2030492,940
    203050300
    2030511,020
    203052780
    2030533,180
    203054540

    FAQ

    What's the Least Common Multiple (LCM) of 20, 30 and 40?

    LCM of 20, 30 and 40 is 120

    How to find the LCM of 20, 30 and 40 by prime factorization?

    Take every prime that appears in 20, 30 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 = 120.

    Can you get the LCM of 20, 30 and 40 two numbers at a time?

    Yes. The LCM of 20 and 30 is 60, and the LCM of 60 and 40 is 120 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 120 divisible by 20, 30 and 40?

    Yes, and by definition it is the smallest positive integer that is: 120 ÷ 20, 120 ÷ 30 and 120 ÷ 40 all come out whole. Any other common multiple of 20, 30 and 40 is a multiple of 120.

    See Also