LCM for 8, 12 and 48

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

What's the Least Common Multiple (LCM) of 8, 12 and 48?

Answer

LCM of 8, 12 and 48 is
48

First common multiples: 48, 96, 144, …

48 is divisible by all three: 48 ÷ 8 = 6, 48 ÷ 12 = 4, 48 ÷ 48 = 1 — and 6, 4 and 1 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/8 by 6 and of y/12 by 4.

8 = 23

12 = 22 × 3

48 = 24 × 3

Prime81248Highest power
223222424
3—333

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

LCM = 24 × 3 = 48

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
81233264
81234408
81235840
8123672
81237888
81238456
81239312
81240120
81241984
81242168
812431,032
81244264
81245360
81246552
812471,128
8124848
812491,176
81250600
81251408
81252312
812531,272
81254216
812551,320
81256168
81257456
81258696
812591,416
81260120
812611,464
81262744

FAQ

What's the Least Common Multiple (LCM) of 8, 12 and 48?

LCM of 8, 12 and 48 is 48

How to find the LCM of 8, 12 and 48 by prime factorization?

Take every prime that appears in 8, 12 and 48 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 = 48.

Can you get the LCM of 8, 12 and 48 two numbers at a time?

Yes. The LCM of 8 and 12 is 24, and the LCM of 24 and 48 is 48 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 48 divisible by 8, 12 and 48?

Yes, and by definition it is the smallest positive integer that is: 48 ÷ 8, 48 ÷ 12 and 48 ÷ 48 all come out whole. Any other common multiple of 8, 12 and 48 is a multiple of 48.

See Also