LCM for 12, 24 and 48

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

What's the Least Common Multiple (LCM) of 12, 24 and 48?

Answer

LCM of 12, 24 and 48 is
48

First common multiples: 48, 96, 144, …

48 is divisible by all three: 48 ÷ 12 = 4, 48 ÷ 24 = 2, 48 ÷ 48 = 1 — and 4, 2 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/12 by 4 and of y/24 by 2.

12 = 22 × 3

24 = 23 × 3

48 = 24 × 3

Prime122448Highest power
222232424
33333

LCM = 24 × 3 = 48

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
122433264
122434408
122435840
12243672
122437888
122438456
122439312
122440120
122441984
122442168
1224431,032
122444264
122445360
122446552
1224471,128
12244848
1224491,176
122450600
122451408
122452312
1224531,272
122454216
1224551,320
122456168
122457456
122458696
1224591,416
122460120
1224611,464
122462744

FAQ

What's the Least Common Multiple (LCM) of 12, 24 and 48?

LCM of 12, 24 and 48 is 48

How to find the LCM of 12, 24 and 48 by prime factorization?

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

Can you get the LCM of 12, 24 and 48 two numbers at a time?

Yes. The LCM of 12 and 24 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 12, 24 and 48?

Yes, and by definition it is the smallest positive integer that is: 48 ÷ 12, 48 ÷ 24 and 48 ÷ 48 all come out whole. Any other common multiple of 12, 24 and 48 is a multiple of 48.

See Also