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    LCM for 240, 360 and 900

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

    What's the Least Common Multiple (LCM) of 240, 360 and 900?

    Answer

    LCM of 240, 360 and 900 is
    3,600

    First common multiples: 3,600; 7,200; 10,800; …

    3,600 is divisible by all three: 3,600 ÷ 240 = 15; 3,600 ÷ 360 = 10; 3,600 ÷ 900 = 4 — and 15, 10 and 4 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/240 by 15 and of y/360 by 10 and of z/900 by 4.

    240 = 24 × 3 × 5

    360 = 23 × 32 × 5

    900 = 22 × 32 × 52

    Prime240360900Highest power
    224232224
    33323232
    5555252

    LCM = 24 × 32 × 52 = 3,600

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/240--360--900Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/240--360--900">What is the LCM of 240, 360 and 900? - Calculatio</a>Copy
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    What is the LCM of 240, 360 and 900? The LCM of 240, 360 and 900 is 3,600 — 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/240--360--900/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    24036088542,480
    240360886318,960
    240360887638,640
    24036088826,640
    240360889640,080
    24036089064,080
    24036089171,280
    240360892160,560
    240360893642,960
    240360894107,280
    240360895128,880
    24036089640,320
    240360897215,280
    240360898323,280
    240360899647,280
    2403609003,600
    240360901648,720
    240360902324,720
    240360903216,720
    24036090481,360
    240360905130,320
    240360906108,720
    240360907653,040
    240360908163,440
    24036090972,720
    24036091065,520
    240360911655,920
    24036091213,680
    240360913657,360
    240360914329,040

    FAQ

    What's the Least Common Multiple (LCM) of 240, 360 and 900?

    LCM of 240, 360 and 900 is 3,600

    How to find the LCM of 240, 360 and 900 by prime factorization?

    Take every prime that appears in 240, 360 and 900 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² × 5² = 3,600.

    Can you get the LCM of 240, 360 and 900 two numbers at a time?

    Yes. The LCM of 240 and 360 is 720, and the LCM of 720 and 900 is 3,600 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 3,600 divisible by 240, 360 and 900?

    Yes, and by definition it is the smallest positive integer that is: 3,600 ÷ 240, 3,600 ÷ 360 and 3,600 ÷ 900 all come out whole. Any other common multiple of 240, 360 and 900 is a multiple of 3,600.

    See Also