LCM for 3, 27 and 35

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What's the Least Common Multiple (LCM) of 3, 27 and 35?

Answer

LCM of 3, 27 and 35 is
945

First common multiples: 945; 1,890; 2,835; …

945 is divisible by all three: 945 ÷ 3 = 315, 945 ÷ 27 = 35, 945 ÷ 35 = 27 — and 315, 35 and 27 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/3 by 315 and of y/27 by 35 and of z/35 by 27.

3 — prime

27 = 33

35 = 5 × 7

Prime32735Highest power
3333—33
5——55
7——77

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

LCM = 33 × 5 × 7 = 945

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LCM Table

1st2nd3rdLCM
32027540
32127189
32227594
32327621
32427216
32527675
32627702
3272727
32728756
32729783
32730270
32731837
32732864
32733297
32734918
32735945
32736108
32737999
327381,026
32739351
327401,080
327411,107
32742378
327431,161
327441,188
32745135
327461,242
327471,269
32748432
327491,323

FAQ

What's the Least Common Multiple (LCM) of 3, 27 and 35?

LCM of 3, 27 and 35 is 945

How to find the LCM of 3, 27 and 35 by prime factorization?

Take every prime that appears in 3, 27 and 35 to the highest power it reaches in any one of them and multiply: 3³ × 5 × 7 = 945.

Can you get the LCM of 3, 27 and 35 two numbers at a time?

Yes. The LCM of 3 and 27 is 27, and the LCM of 27 and 35 is 945 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 945 divisible by 3, 27 and 35?

Yes, and by definition it is the smallest positive integer that is: 945 ÷ 3, 945 ÷ 27 and 945 ÷ 35 all come out whole. Any other common multiple of 3, 27 and 35 is a multiple of 945.

See Also