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 8, 16 and 20

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

    What's the Least Common Multiple (LCM) of 8, 16 and 20?

    Answer

    LCM of 8, 16 and 20 is
    80

    (Eighty)

    80 is the smallest positive integer that 8, 16 and 20 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 8, 16 and 20 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 8: 2 × 2 × 2 (exponent form: 23)

    All Prime Factors of 16: 2 × 2 × 2 × 2 (exponent form: 24)

    All Prime Factors of 20: 2 × 2 × 5 (exponent form: 22 × 5)

    Prime factor81620Highest power
    223242224
    5——55

    LCM = 24 × 5 = 80

    Checking the LCM of 8, 16 and 20 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(8, 16) = (8 × 16) ÷ 8 = 128 ÷ 8 = 16

    LCM(16, 20) = (16 × 20) ÷ 4 = 320 ÷ 4 = 80

    LCM(8, 16, 20) = 80

    The pairs may be taken in any order — 16 and 20 first, then 8 — and the answer is the same 80. 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/8--16--20Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--16--20">What is the LCM of 8, 16 and 20? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 8, 16 and 20?. The LCM of 8, 16 and 20 is 80 — 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/8--16--20/generated.jpgCopy

    LCM Table

    Number 1Number 2Number 3LCM
    581680
    681648
    7816112
    881616
    8916144
    8101680
    81116176
    8121648
    81316208
    81416112
    81516240
    8161616
    81617272
    81618144
    81619304
    8162080
    81621336
    81622176
    81623368
    8162448
    81625400
    81626208
    81627432
    81628112
    81629464
    81630240
    81631496
    8163232
    81633528
    81634272

    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 8, 16 and 20? (The answer is: 80). Enter the first number (e.g. '8'), the second (e.g. '16') and the third (e.g. '20'), 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 8, 16 and 20?

    LCM of 8, 16 and 20 is 80

    How to find the LCM of 8, 16 and 20 by prime factorization?

    Take every prime that appears in 8, 16 and 20 to the highest power it reaches in any one of them and multiply: 2⁴ × 5 = 80.

    Can you get the LCM of 8, 16 and 20 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 8 and 16 is 16, and the LCM of 16 and 20 is 80 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 80 divisible by 8, 16 and 20?

    Yes, and by definition it is the smallest positive integer that is: 80 ÷ 8, 80 ÷ 16 and 80 ÷ 20 all come out whole. Any other common multiple of 8, 16 and 20 is a multiple of 80.

    See Also