Least Common Multiple of 32, 61, 31, 456

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 32, 61, 31, 456 i.e. 3449184 smallest integer divisible by all numbers.

Least common multiple (LCM) of 32, 61, 31, 456 is 3449184.

LCM(32, 61, 31, 456) = 3449184

LCM of 32, 61, 31, 456

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

LCM of:

Least Common Multiple of 32,61,31,456

Least Common Multiple (LCM) of 32,61,31,456 is 3449184

2 32, 61, 31, 456
2 16, 61, 31, 228
2 8, 61, 31, 114
4, 61, 31, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 61 x 31 x 57 = 3449184

Least Common Multiple of 32,61,31,456 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 32,61,31,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,61,31,456) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,61,31,456) x common factors =1 x 8 = 8

LCM(32,61,31,456) = ( 32 × 61 × 31 × 456 ) / 8

LCM(32,61,31,456) = 27593472 / 8

LCM(32,61,31,456) = 3449184

∴ Least Common Multiple of 32,61,31,456 is 3449184

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 32, 61, 31, 456

1. What is the LCM of 32, 61, 31, 456?

Answer: LCM of 32, 61, 31, 456 is 3449184.

2. What are the Factors of 3449184?

Answer: Factors of 3449184 are . There are integers that are factors of 3449184

3. How to Find the LCM of 32, 61, 31, 456 ?

Least Common Multiple of 32, 61, 31, 456.

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(32, 61, 31, 456) = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 31 x 61 = 3449184.