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    LCM for 12, 14 and 84

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
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    What's the Least Common Multiple (LCM) of 12, 14 and 84?

    Answer

    LCM of 12, 14 and 84 is
    84

    First common multiples: 84, 168, 252, …

    84 is divisible by all three: 84 ÷ 12 = 7, 84 ÷ 14 = 6, 84 ÷ 84 = 1 — and 7, 6 and 1 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/12 by 7 and of y/14 by 6.

    12 = 22 × 3

    14 = 2 × 7

    84 = 22 × 3 × 7

    Prime121484Highest power
    22222222
    33—33
    7—777

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

    LCM = 22 × 3 × 7 = 84

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--14--84Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--14--84">What is the LCM of 12, 14 and 84? - Calculatio</a>Copy
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    What is the LCM of 12, 14 and 84? The LCM of 12, 14 and 84 is 84 — 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/12--14--84/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1214691,932
    121470420
    1214715,964
    121472504
    1214736,132
    1214743,108
    1214752,100
    1214761,596
    121477924
    1214781,092
    1214796,636
    1214801,680
    1214812,268
    1214823,444
    1214836,972
    12148484
    1214857,140
    1214863,612
    1214872,436
    1214881,848
    1214897,476
    1214901,260
    1214911,092
    1214921,932
    1214932,604
    1214943,948
    1214957,980
    121496672
    1214978,148
    121498588

    FAQ

    What's the Least Common Multiple (LCM) of 12, 14 and 84?

    LCM of 12, 14 and 84 is 84

    How to find the LCM of 12, 14 and 84 by prime factorization?

    Take every prime that appears in 12, 14 and 84 to the highest power it reaches in any one of them and multiply: 2² × 3 × 7 = 84.

    Can you get the LCM of 12, 14 and 84 two numbers at a time?

    Yes. The LCM of 12 and 14 is 84, and the LCM of 84 and 84 is 84 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 84 divisible by 12, 14 and 84?

    Yes, and by definition it is the smallest positive integer that is: 84 ÷ 12, 84 ÷ 14 and 84 ÷ 84 all come out whole. Any other common multiple of 12, 14 and 84 is a multiple of 84.

    See Also