Least Common Multiple of 31, 48, 99, 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 31, 48, 99, 504 i.e. 343728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 48, 99, 504 is 343728.

LCM(31, 48, 99, 504) = 343728

LCM of 31, 48, 99, 504

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

LCM of:

Least Common Multiple of 31,48,99,504

Least Common Multiple (LCM) of 31,48,99,504 is 343728

2 31, 48, 99, 504
2 31, 24, 99, 252
2 31, 12, 99, 126
3 31, 6, 99, 63
3 31, 2, 33, 21
31, 2, 11, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 31 x 2 x 11 x 7 = 343728

Least Common Multiple of 31,48,99,504 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 31,48,99,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,48,99,504) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(31,48,99,504) x common factors =1 x 216 = 216

LCM(31,48,99,504) = ( 31 × 48 × 99 × 504 ) / 216

LCM(31,48,99,504) = 74245248 / 216

LCM(31,48,99,504) = 343728

∴ Least Common Multiple of 31,48,99,504 is 343728

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 31, 48, 99, 504

1. What is the LCM of 31, 48, 99, 504?

Answer: LCM of 31, 48, 99, 504 is 343728.

2. What are the Factors of 343728?

Answer: Factors of 343728 are . There are integers that are factors of 343728

3. How to Find the LCM of 31, 48, 99, 504 ?

Least Common Multiple of 31, 48, 99, 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(31, 48, 99, 504) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 31 = 343728.