LCM for 35, 60 and 100

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

What's the Least Common Multiple (LCM) of 35, 60 and 100?

Answer

LCM of 35, 60 and 100 is
2,100

First common multiples: 2,100; 4,200; 6,300; …

2,100 is divisible by all three: 2,100 ÷ 35 = 60; 2,100 ÷ 60 = 35; 2,100 ÷ 100 = 21 — and 60, 35 and 21 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/35 by 60 and of y/60 by 35 and of z/100 by 21.

35 = 5 × 7

60 = 22 × 3 × 5

100 = 22 × 52

Prime3560100Highest power
2—222222
3—3—3
5555252
77——7

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

LCM = 22 × 3 × 52 × 7 = 2,100

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
3560857,140
35608618,060
35608712,180
3560889,240
35608937,380
3560901,260
3560915,460
3560929,660
35609313,020
35609419,740
3560957,980
3560963,360
35609740,740
3560982,940
35609913,860
35601002,100
356010142,420
35601027,140
356010343,260
356010410,920
3560105420
356010622,260
356010744,940
35601083,780
356010945,780
35601104,620
356011115,540
35601121,680
356011347,460
35601147,980

FAQ

What's the Least Common Multiple (LCM) of 35, 60 and 100?

LCM of 35, 60 and 100 is 2,100

How to find the LCM of 35, 60 and 100 by prime factorization?

Take every prime that appears in 35, 60 and 100 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5² × 7 = 2,100.

Can you get the LCM of 35, 60 and 100 two numbers at a time?

Yes. The LCM of 35 and 60 is 420, and the LCM of 420 and 100 is 2,100 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 2,100 divisible by 35, 60 and 100?

Yes, and by definition it is the smallest positive integer that is: 2,100 ÷ 35, 2,100 ÷ 60 and 2,100 ÷ 100 all come out whole. Any other common multiple of 35, 60 and 100 is a multiple of 2,100.

See Also