Least Common Multiple of 38, 48, 78, 504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 38, 48, 78, 504 i.e. 248976 smallest integer divisible by all numbers.

Least common multiple (LCM) of 38, 48, 78, 504 is 248976.

LCM(38, 48, 78, 504) = 248976

LCM of 38, 48, 78, 504

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 38,48,78,504

Least Common Multiple (LCM) of 38,48,78,504 is 248976

2 38, 48, 78, 504
2 19, 24, 39, 252
2 19, 12, 39, 126
3 19, 6, 39, 63
19, 2, 13, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 2 x 13 x 21 = 248976

Least Common Multiple of 38,48,78,504 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,48,78,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,48,78,504) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(38,48,78,504) x common factors =2 x 144 = 288

LCM(38,48,78,504) = ( 38 × 48 × 78 × 504 ) / 288

LCM(38,48,78,504) = 71705088 / 288

LCM(38,48,78,504) = 248976

∴ Least Common Multiple of 38,48,78,504 is 248976

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 38, 48, 78, 504

1. What is the LCM of 38, 48, 78, 504?

Answer: LCM of 38, 48, 78, 504 is 248976.

2. What are the Factors of 248976?

Answer: Factors of 248976 are . There are integers that are factors of 248976

3. How to Find the LCM of 38, 48, 78, 504 ?

Least Common Multiple of 38, 48, 78, 504.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(38, 48, 78, 504) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 19 = 248976.