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    LCM for 25, 35 and 45

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

    What's the Least Common Multiple (LCM) of 25, 35 and 45?

    Answer

    LCM of 25, 35 and 45 is
    1,575

    First common multiples: 1,575; 3,150; 4,725; …

    1,575 is divisible by all three: 1,575 ÷ 25 = 63; 1,575 ÷ 35 = 45; 1,575 ÷ 45 = 35 — and 63, 45 and 35 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 63 and of y/35 by 45 and of z/45 by 35.

    25 = 52

    35 = 5 × 7

    45 = 32 × 5

    Prime253545Highest power
    3——3232
    5525552
    7—7—7

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

    LCM = 32 × 52 × 7 = 1,575

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--35--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--35--45">What is the LCM of 25, 35 and 45? - Calculatio</a>Copy
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    What is the LCM of 25, 35 and 45? The LCM of 25, 35 and 45 is 1,575 — 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--35--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2530351,050
    2531355,425
    2532355,600
    2533355,775
    2534355,950
    253535175
    2535366,300
    2535376,475
    2535386,650
    2535396,825
    2535401,400
    2535417,175
    2535421,050
    2535437,525
    2535447,700
    2535451,575
    2535468,050
    2535478,225
    2535488,400
    2535491,225
    253550350
    2535518,925
    2535529,100
    2535539,275
    2535549,450
    2535551,925
    2535561,400
    2535579,975
    25355810,150
    25355910,325

    FAQ

    What's the Least Common Multiple (LCM) of 25, 35 and 45?

    LCM of 25, 35 and 45 is 1,575

    How to find the LCM of 25, 35 and 45 by prime factorization?

    Take every prime that appears in 25, 35 and 45 to the highest power it reaches in any one of them and multiply: 3² × 5² × 7 = 1,575.

    Can you get the LCM of 25, 35 and 45 two numbers at a time?

    Yes. The LCM of 25 and 35 is 175, and the LCM of 175 and 45 is 1,575 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,575 divisible by 25, 35 and 45?

    Yes, and by definition it is the smallest positive integer that is: 1,575 ÷ 25, 1,575 ÷ 35 and 1,575 ÷ 45 all come out whole. Any other common multiple of 25, 35 and 45 is a multiple of 1,575.

    See Also