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    LCM for 15, 175 and 225

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

    What's the Least Common Multiple (LCM) of 15, 175 and 225?

    Answer

    LCM of 15, 175 and 225 is
    1,575

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

    1,575 is divisible by all three: 1,575 ÷ 15 = 105; 1,575 ÷ 175 = 9; 1,575 ÷ 225 = 7 — and 105, 9 and 7 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 105 and of y/175 by 9 and of z/225 by 7.

    15 = 3 × 5

    175 = 52 × 7

    225 = 32 × 52

    Prime15175225Highest power
    33—3232
    55525252
    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

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--175--225Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--175--225">What is the LCM of 15, 175 and 225? - Calculatio</a>Copy
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    What is the LCM of 15, 175 and 225? The LCM of 15, 175 and 225 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/15--175--225/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    151752101,050
    15175211110,775
    15175212111,300
    1517521337,275
    15175214112,350
    1517521522,575
    1517521637,800
    1517521716,275
    15175218114,450
    1517521938,325
    1517522023,100
    15175221116,025
    1517522238,850
    15175223117,075
    1517522416,800
    151752251,575
    15175226118,650
    15175227119,175
    1517522839,900
    15175229120,225
    1517523024,150
    151752315,775
    15175232121,800
    15175233122,325
    1517523440,950
    1517523524,675
    15175236123,900
    1517523741,475
    1517523817,850
    15175239125,475

    FAQ

    What's the Least Common Multiple (LCM) of 15, 175 and 225?

    LCM of 15, 175 and 225 is 1,575

    How to find the LCM of 15, 175 and 225 by prime factorization?

    Take every prime that appears in 15, 175 and 225 to the highest power it reaches in any one of them and multiply: 3² × 5² × 7 = 1,575.

    Can you get the LCM of 15, 175 and 225 two numbers at a time?

    Yes. The LCM of 15 and 175 is 525, and the LCM of 525 and 225 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 15, 175 and 225?

    Yes, and by definition it is the smallest positive integer that is: 1,575 ÷ 15, 1,575 ÷ 175 and 1,575 ÷ 225 all come out whole. Any other common multiple of 15, 175 and 225 is a multiple of 1,575.

    See Also