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    LCM for 77, 91 and 143

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

    What's the Least Common Multiple (LCM) of 77, 91 and 143?

    Answer

    LCM of 77, 91 and 143 is
    1,001

    First common multiples: 1,001; 2,002; 3,003; …

    1,001 is divisible by all three: 1,001 ÷ 77 = 13; 1,001 ÷ 91 = 11; 1,001 ÷ 143 = 7 — and 13, 11 and 7 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/77 by 13 and of y/91 by 11 and of z/143 by 7.

    77 = 7 × 11

    91 = 7 × 13

    143 = 11 × 13

    Prime7791143Highest power
    777—7
    1111—1111
    13—131313

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

    LCM = 7 × 11 × 13 = 1,001

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/77--91--143Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/77--91--143">What is the LCM of 77, 91 and 143? - Calculatio</a>Copy
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    What is the LCM of 77, 91 and 143? The LCM of 77, 91 and 143 is 1,001 — 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/77--91--143/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    7791128128,128
    7791129129,129
    779113010,010
    7791131131,131
    779113212,012
    779113319,019
    7791134134,134
    7791135135,135
    7791136136,136
    7791137137,137
    7791138138,138
    7791139139,139
    779114020,020
    7791141141,141
    7791142142,142
    77911431,001
    7791144144,144
    7791145145,145
    7791146146,146
    779114721,021
    7791148148,148
    7791149149,149
    7791150150,150
    7791151151,151
    7791152152,152
    7791153153,153
    77911542,002
    7791155155,155
    779115612,012
    7791157157,157

    FAQ

    What's the Least Common Multiple (LCM) of 77, 91 and 143?

    LCM of 77, 91 and 143 is 1,001

    How to find the LCM of 77, 91 and 143 by prime factorization?

    Take every prime that appears in 77, 91 and 143 to the highest power it reaches in any one of them and multiply: 7 × 11 × 13 = 1,001.

    Can you get the LCM of 77, 91 and 143 two numbers at a time?

    Yes. The LCM of 77 and 91 is 1,001, and the LCM of 1,001 and 143 is 1,001 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,001 divisible by 77, 91 and 143?

    Yes, and by definition it is the smallest positive integer that is: 1,001 ÷ 77, 1,001 ÷ 91 and 1,001 ÷ 143 all come out whole. Any other common multiple of 77, 91 and 143 is a multiple of 1,001.