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    LCM for 35, 40 and 120

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

    What's the Least Common Multiple (LCM) of 35, 40 and 120?

    Answer

    LCM of 35, 40 and 120 is
    840

    First common multiples: 840; 1,680; 2,520; …

    840 is divisible by all three: 840 ÷ 35 = 24, 840 ÷ 40 = 21, 840 ÷ 120 = 7 — and 24, 21 and 7 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/35 by 24 and of y/40 by 21 and of z/120 by 7.

    35 = 5 × 7

    40 = 23 × 5

    120 = 23 × 3 × 5

    Prime3540120Highest power
    2—232323
    3——33
    55555
    77——7

    — = 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 × 7 = 840

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/35--40--120Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/35--40--120">What is the LCM of 35, 40 and 120? - Calculatio</a>Copy
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    What is the LCM of 35, 40 and 120? The LCM of 35, 40 and 120 is 840 — 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/35--40--120/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    3540105840
    354010614,840
    354010729,960
    35401087,560
    354010930,520
    35401103,080
    354011131,080
    3540112560
    354011331,640
    354011415,960
    35401156,440
    35401168,120
    354011732,760
    354011816,520
    35401194,760
    3540120840
    354012133,880
    354012217,080
    354012334,440
    35401248,680
    35401257,000
    35401262,520
    354012735,560
    35401284,480
    354012936,120
    35401303,640
    354013136,680
    35401329,240
    35401335,320
    354013418,760

    FAQ

    What's the Least Common Multiple (LCM) of 35, 40 and 120?

    LCM of 35, 40 and 120 is 840

    How to find the LCM of 35, 40 and 120 by prime factorization?

    Take every prime that appears in 35, 40 and 120 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 × 7 = 840.

    Can you get the LCM of 35, 40 and 120 two numbers at a time?

    Yes. The LCM of 35 and 40 is 280, and the LCM of 280 and 120 is 840 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 840 divisible by 35, 40 and 120?

    Yes, and by definition it is the smallest positive integer that is: 840 ÷ 35, 840 ÷ 40 and 840 ÷ 120 all come out whole. Any other common multiple of 35, 40 and 120 is a multiple of 840.

    See Also