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 4, 8 and 40

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

    What's the Least Common Multiple (LCM) of 4, 8 and 40?

    Answer

    LCM of 4, 8 and 40 is
    40

    (Forty)

    40 is the smallest positive integer that 4, 8 and 40 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 4, 8 and 40 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 4: 2 × 2 (exponent form: 22)

    All Prime Factors of 8: 2 × 2 × 2 (exponent form: 23)

    All Prime Factors of 40: 2 × 2 × 2 × 5 (exponent form: 23 × 5)

    Prime factor4840Highest power
    222232323
    5——55

    LCM = 23 × 5 = 40

    Checking the LCM of 4, 8 and 40 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(4, 8) = (4 × 8) ÷ 4 = 32 ÷ 4 = 8

    LCM(8, 40) = (8 × 40) ÷ 8 = 320 ÷ 8 = 40

    LCM(4, 8, 40) = 40

    The pairs may be taken in any order — 8 and 40 first, then 4 — and the answer is the same 40. 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/4--8--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--8--40">What is the LCM of 4, 8 and 40? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 4, 8 and 40?. The LCM of 4, 8 and 40 is 40 — 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/4--8--40/generated.jpgCopy

    LCM Table

    Number 1Number 2Number 3LCM
    4825200
    4826104
    4827216
    482856
    4829232
    4830120
    4831248
    483232
    4833264
    4834136
    4835280
    483672
    4837296
    4838152
    4839312
    484040
    4841328
    4842168
    4843344
    484488
    4845360
    4846184
    4847376
    484848
    4849392
    4850200
    4851408
    4852104
    4853424
    4854216

    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 4, 8 and 40? (The answer is: 40). Enter the first number (e.g. '4'), the second (e.g. '8') and the third (e.g. '40'), 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 4, 8 and 40?

    LCM of 4, 8 and 40 is 40

    How to find the LCM of 4, 8 and 40 by prime factorization?

    Take every prime that appears in 4, 8 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 5 = 40.

    Can you get the LCM of 4, 8 and 40 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 4 and 8 is 8, and the LCM of 8 and 40 is 40 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 40 divisible by 4, 8 and 40?

    Yes, and by definition it is the smallest positive integer that is: 40 ÷ 4, 40 ÷ 8 and 40 ÷ 40 all come out whole. Any other common multiple of 4, 8 and 40 is a multiple of 40.

    See Also