Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    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

    (One thousand five hundred seventy-five)

    1,575 is the smallest positive integer that 25, 35 and 45 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 25, 35 and 45 by Prime Factorization

    Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

    All Prime Factors of 25: 5 × 5 (exponent form: 52)

    All Prime Factors of 35: 5 × 7 (exponent form: 5 × 7)

    All Prime Factors of 45: 3 × 3 × 5 (exponent form: 32 × 5)

    Prime factor253545Highest power
    3——3232
    5525552
    7—7—7

    LCM = 32 × 52 × 7 = 1,575

    Checking the LCM of 25, 35 and 45 Two Numbers at a Time

    The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

    LCM(a, b) = (a × b) ÷ GCD(a, b)

    LCM(25, 35) = (25 × 35) ÷ 5 = 875 ÷ 5 = 175

    LCM(175, 45) = (175 × 45) ÷ 5 = 7,875 ÷ 5 = 1,575

    LCM(25, 35, 45) = 1,575

    The pairs may be taken in any order — 35 and 45 first, then 25 — and the answer is the same 1,575. That is exactly why the two routes on this page agree.

    Related Calculations

    See Also

    Share This Calculation
    Print
    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
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    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

    Number 1Number 2Number 3LCM
    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

    About "Least Common Multiple of 3 Numbers" Calculator

    This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 25, 35 and 45? (The answer is: 1,575). Enter the first number (e.g. '25'), the second (e.g. '35') and the third (e.g. '45'), then hit the 'Calculate' button.
    The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    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, and it is the check this page prints. 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