LCM for 77, 91 and 143

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

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

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