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    LCM for 4, 8 and 14

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

    What's the Least Common Multiple (LCM) of 4, 8 and 14?

    Answer

    LCM of 4, 8 and 14 is
    56

    First common multiples: 56, 112, 168, …

    56 is divisible by all three: 56 ÷ 4 = 14, 56 ÷ 8 = 7, 56 ÷ 14 = 4 — and 14, 7 and 4 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/4 by 14 and of y/8 by 7 and of z/14 by 4.

    4 = 22

    8 = 23

    14 = 2 × 7

    Prime4814Highest power
    22223223
    7——77

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

    LCM = 23 × 7 = 56

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--8--14Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--8--14">What is the LCM of 4, 8 and 14? - Calculatio</a>Copy
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    What is the LCM of 4, 8 and 14? The LCM of 4, 8 and 14 is 56 — 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--14/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1488
    2488
    34824
    4488
    45840
    46824
    47856
    4888
    48972
    481040
    481188
    481224
    4813104
    481456
    4815120
    481616
    4817136
    481872
    4819152
    482040
    4821168
    482288
    4823184
    482424
    4825200
    4826104
    4827216
    482856
    4829232
    4830120

    FAQ

    What's the Least Common Multiple (LCM) of 4, 8 and 14?

    LCM of 4, 8 and 14 is 56

    How to find the LCM of 4, 8 and 14 by prime factorization?

    Take every prime that appears in 4, 8 and 14 to the highest power it reaches in any one of them and multiply: 2³ × 7 = 56.

    Can you get the LCM of 4, 8 and 14 two numbers at a time?

    Yes. The LCM of 4 and 8 is 8, and the LCM of 8 and 14 is 56 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 56 divisible by 4, 8 and 14?

    Yes, and by definition it is the smallest positive integer that is: 56 ÷ 4, 56 ÷ 8 and 56 ÷ 14 all come out whole. Any other common multiple of 4, 8 and 14 is a multiple of 56.