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    LCM for 25, 50 and 75

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

    What's the Least Common Multiple (LCM) of 25, 50 and 75?

    Answer

    LCM of 25, 50 and 75 is
    150

    First common multiples: 150, 300, 450, …

    150 is divisible by all three: 150 ÷ 25 = 6, 150 ÷ 50 = 3, 150 ÷ 75 = 2 — and 6, 3 and 2 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 6 and of y/50 by 3 and of z/75 by 2.

    25 = 52

    50 = 2 × 52

    75 = 3 × 52

    Prime255075Highest power
    2—2—2
    3——33
    552525252

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

    LCM = 2 × 3 × 52 = 150

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--50--75Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--50--75">What is the LCM of 25, 50 and 75? - Calculatio</a>Copy
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    What is the LCM of 25, 50 and 75? The LCM of 25, 50 and 75 is 150 — 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--50--75/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    255060300
    2550613,050
    2550621,550
    2550633,150
    2550641,600
    255065650
    2550661,650
    2550673,350
    2550681,700
    2550693,450
    255070350
    2550713,550
    2550721,800
    2550733,650
    2550741,850
    255075150
    2550761,900
    2550773,850
    2550781,950
    2550793,950
    255080400
    2550814,050
    2550822,050
    2550834,150
    2550842,100
    255085850
    2550862,150
    2550874,350
    2550882,200
    2550894,450

    FAQ

    What's the Least Common Multiple (LCM) of 25, 50 and 75?

    LCM of 25, 50 and 75 is 150

    How to find the LCM of 25, 50 and 75 by prime factorization?

    Take every prime that appears in 25, 50 and 75 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

    Can you get the LCM of 25, 50 and 75 two numbers at a time?

    Yes. The LCM of 25 and 50 is 50, and the LCM of 50 and 75 is 150 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 150 divisible by 25, 50 and 75?

    Yes, and by definition it is the smallest positive integer that is: 150 ÷ 25, 150 ÷ 50 and 150 ÷ 75 all come out whole. Any other common multiple of 25, 50 and 75 is a multiple of 150.

    See Also