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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

    (One thousand one)

    1,001 is the smallest positive integer that 77, 91 and 143 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 77, 91 and 143 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 77: 7 × 11 (exponent form: 7 × 11)

    All Prime Factors of 91: 7 × 13 (exponent form: 7 × 13)

    All Prime Factors of 143: 11 × 13 (exponent form: 11 × 13)

    Prime factor7791143Highest power
    777—7
    1111—1111
    13—131313

    LCM = 7 × 11 × 13 = 1,001

    Checking the LCM of 77, 91 and 143 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(77, 91) = (77 × 91) ÷ 7 = 7,007 ÷ 7 = 1,001

    LCM(1,001, 143) = (1,001 × 143) ÷ 143 = 143,143 ÷ 143 = 1,001

    LCM(77, 91, 143) = 1,001

    The pairs may be taken in any order — 91 and 143 first, then 77 — and the answer is the same 1,001. That is exactly why the two routes on this page agree.

    Related Calculations

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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.
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    LCM Table

    Number 1Number 2Number 3LCM
    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

    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 77, 91 and 143? (The answer is: 1,001). Enter the first number (e.g. '77'), the second (e.g. '91') and the third (e.g. '143'), 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 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, and it is the check this page prints. 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.

    See Also