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    LCM for 45, 50 and 60

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

    What's the Least Common Multiple (LCM) of 45, 50 and 60?

    Answer

    LCM of 45, 50 and 60 is
    900

    First common multiples: 900; 1,800; 2,700; …

    900 is divisible by all three: 900 ÷ 45 = 20, 900 ÷ 50 = 18, 900 ÷ 60 = 15 — and 20, 18 and 15 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/45 by 20 and of y/50 by 18 and of z/60 by 15.

    45 = 32 × 5

    50 = 2 × 52

    60 = 22 × 3 × 5

    Prime455060Highest power
    2—22222
    332—332
    5552552

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

    LCM = 22 × 32 × 52 = 900

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/45--50--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/45--50--60">What is the LCM of 45, 50 and 60? - Calculatio</a>Copy
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    What is the LCM of 45, 50 and 60? The LCM of 45, 50 and 60 is 900 — 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/45--50--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    454550450
    45465010,350
    45475021,150
    4548503,600
    45495022,050
    455050450
    4550517,650
    45505211,700
    45505323,850
    4550541,350
    4550554,950
    45505612,600
    4550578,550
    45505813,050
    45505926,550
    455060900
    45506127,450
    45506213,950
    4550633,150
    45506414,400
    4550655,850
    4550664,950
    45506730,150
    45506815,300
    45506910,350
    4550703,150
    45507131,950
    4550721,800
    45507332,850
    45507416,650

    FAQ

    What's the Least Common Multiple (LCM) of 45, 50 and 60?

    LCM of 45, 50 and 60 is 900

    How to find the LCM of 45, 50 and 60 by prime factorization?

    Take every prime that appears in 45, 50 and 60 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5² = 900.

    Can you get the LCM of 45, 50 and 60 two numbers at a time?

    Yes. The LCM of 45 and 50 is 450, and the LCM of 450 and 60 is 900 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 900 divisible by 45, 50 and 60?

    Yes, and by definition it is the smallest positive integer that is: 900 ÷ 45, 900 ÷ 50 and 900 ÷ 60 all come out whole. Any other common multiple of 45, 50 and 60 is a multiple of 900.

    See Also