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    LCM for 25, 45 and 60

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

    What's the Least Common Multiple (LCM) of 25, 45 and 60?

    Answer

    LCM of 25, 45 and 60 is
    900

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

    900 is divisible by all three: 900 ÷ 25 = 36, 900 ÷ 45 = 20, 900 ÷ 60 = 15 — and 36, 20 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/25 by 36 and of y/45 by 20 and of z/60 by 15.

    25 = 52

    45 = 32 × 5

    60 = 22 × 3 × 5

    Prime254560Highest power
    2——2222
    3—32332
    5525552

    — = 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/25--45--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--45--60">What is the LCM of 25, 45 and 60? - Calculatio</a>Copy
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    What is the LCM of 25, 45 and 60? The LCM of 25, 45 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/25--45--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    254545225
    25454610,350
    25454710,575
    2545483,600
    25454911,025
    254550450
    2545513,825
    25455211,700
    25455311,925
    2545541,350
    2545552,475
    25455612,600
    2545574,275
    25455813,050
    25455913,275
    254560900
    25456113,725
    25456213,950
    2545631,575
    25456414,400
    2545652,925
    2545664,950
    25456715,075
    25456815,300
    2545695,175
    2545703,150
    25457115,975
    2545721,800
    25457316,425
    25457416,650

    FAQ

    What's the Least Common Multiple (LCM) of 25, 45 and 60?

    LCM of 25, 45 and 60 is 900

    How to find the LCM of 25, 45 and 60 by prime factorization?

    Take every prime that appears in 25, 45 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 25, 45 and 60 two numbers at a time?

    Yes. The LCM of 25 and 45 is 225, and the LCM of 225 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 25, 45 and 60?

    Yes, and by definition it is the smallest positive integer that is: 900 ÷ 25, 900 ÷ 45 and 900 ÷ 60 all come out whole. Any other common multiple of 25, 45 and 60 is a multiple of 900.

    See Also