LCM for 77, 91 and 143

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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

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

Related Calculations

See Also

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.

See Also