Least Common Multiple of 31, 24, 31, 640

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, 24, 31, 640 i.e. 59520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 24, 31, 640 is 59520.

LCM(31, 24, 31, 640) = 59520

LCM of 31, 24, 31, 640

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

LCM of:

Least Common Multiple of 31,24,31,640

Least Common Multiple (LCM) of 31,24,31,640 is 59520

2 31, 24, 31, 640
2 31, 12, 31, 320
2 31, 6, 31, 160
31 31, 3, 31, 80
1, 3, 1, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 1 x 3 x 1 x 80 = 59520

Least Common Multiple of 31,24,31,640 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 31,24,31,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,24,31,640) = 1

common factors(in case of two or more numbers have common factors) = 248

GCF(31,24,31,640) x common factors =1 x 248 = 248

LCM(31,24,31,640) = ( 31 × 24 × 31 × 640 ) / 248

LCM(31,24,31,640) = 14760960 / 248

LCM(31,24,31,640) = 59520

∴ Least Common Multiple of 31,24,31,640 is 59520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 31, 24, 31, 640

1. What is the LCM of 31, 24, 31, 640?

Answer: LCM of 31, 24, 31, 640 is 59520.

2. What are the Factors of 59520?

Answer: Factors of 59520 are . There are integers that are factors of 59520

3. How to Find the LCM of 31, 24, 31, 640 ?

Least Common Multiple of 31, 24, 31, 640.

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, 24, 31, 640) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 = 59520.