Least Common Multiple of 31, 89, 46, 494

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, 89, 46, 494 i.e. 31347758 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 89, 46, 494 is 31347758.

LCM(31, 89, 46, 494) = 31347758

LCM of 31, 89, 46, 494

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

LCM of:

Least Common Multiple of 31,89,46,494

Least Common Multiple (LCM) of 31,89,46,494 is 31347758

2 31, 89, 46, 494
31, 89, 23, 247

∴ So the LCM of the given numbers is 2 x 31 x 89 x 23 x 247 = 31347758

Least Common Multiple of 31,89,46,494 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 31,89,46,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,89,46,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,89,46,494) x common factors =1 x 2 = 2

LCM(31,89,46,494) = ( 31 × 89 × 46 × 494 ) / 2

LCM(31,89,46,494) = 62695516 / 2

LCM(31,89,46,494) = 31347758

∴ Least Common Multiple of 31,89,46,494 is 31347758

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 31, 89, 46, 494

1. What is the LCM of 31, 89, 46, 494?

Answer: LCM of 31, 89, 46, 494 is 31347758.

2. What are the Factors of 31347758?

Answer: Factors of 31347758 are . There are integers that are factors of 31347758

3. How to Find the LCM of 31, 89, 46, 494 ?

Least Common Multiple of 31, 89, 46, 494.

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, 89, 46, 494) = 2 x 13 x 19 x 23 x 31 x 89 = 31347758.