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    LCM for 15, 25 and 75

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

    What's the Least Common Multiple (LCM) of 15, 25 and 75?

    Answer

    LCM of 15, 25 and 75 is
    75

    First common multiples: 75, 150, 225, …

    75 is divisible by all three: 75 ÷ 15 = 5, 75 ÷ 25 = 3, 75 ÷ 75 = 1 — and 5, 3 and 1 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/15 by 5 and of y/25 by 3.

    15 = 3 × 5

    25 = 52

    75 = 3 × 52

    Prime152575Highest power
    33—33
    55525252

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

    LCM = 3 × 52 = 75

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--75Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--75">What is the LCM of 15, 25 and 75? - Calculatio</a>Copy
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    What is the LCM of 15, 25 and 75? The LCM of 15, 25 and 75 is 75 — 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/15--25--75/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    152560300
    1525614,575
    1525624,650
    1525631,575
    1525644,800
    152565975
    1525661,650
    1525675,025
    1525685,100
    1525691,725
    1525701,050
    1525715,325
    1525721,800
    1525735,475
    1525745,550
    15257575
    1525765,700
    1525775,775
    1525781,950
    1525795,925
    1525801,200
    1525812,025
    1525826,150
    1525836,225
    1525842,100
    1525851,275
    1525866,450
    1525872,175
    1525886,600
    1525896,675

    FAQ

    What's the Least Common Multiple (LCM) of 15, 25 and 75?

    LCM of 15, 25 and 75 is 75

    How to find the LCM of 15, 25 and 75 by prime factorization?

    Take every prime that appears in 15, 25 and 75 to the highest power it reaches in any one of them and multiply: 3 × 5² = 75.

    Can you get the LCM of 15, 25 and 75 two numbers at a time?

    Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 75 is 75 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 75 divisible by 15, 25 and 75?

    Yes, and by definition it is the smallest positive integer that is: 75 ÷ 15, 75 ÷ 25 and 75 ÷ 75 all come out whole. Any other common multiple of 15, 25 and 75 is a multiple of 75.

    See Also