Least Common Multiple of 32, 96, 61, 704

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, 96, 61, 704 i.e. 128832 smallest integer divisible by all numbers.

Least common multiple (LCM) of 32, 96, 61, 704 is 128832.

LCM(32, 96, 61, 704) = 128832

LCM of 32, 96, 61, 704

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

LCM of:

Least Common Multiple of 32,96,61,704

Least Common Multiple (LCM) of 32,96,61,704 is 128832

2 32, 96, 61, 704
2 16, 48, 61, 352
2 8, 24, 61, 176
2 4, 12, 61, 88
2 2, 6, 61, 44
1, 3, 61, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 3 x 61 x 22 = 128832

Least Common Multiple of 32,96,61,704 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 32,96,61,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,96,61,704) = 1

common factors(in case of two or more numbers have common factors) = 1024

GCF(32,96,61,704) x common factors =1 x 1024 = 1024

LCM(32,96,61,704) = ( 32 × 96 × 61 × 704 ) / 1024

LCM(32,96,61,704) = 131923968 / 1024

LCM(32,96,61,704) = 128832

∴ Least Common Multiple of 32,96,61,704 is 128832

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 32, 96, 61, 704

1. What is the LCM of 32, 96, 61, 704?

Answer: LCM of 32, 96, 61, 704 is 128832.

2. What are the Factors of 128832?

Answer: Factors of 128832 are . There are integers that are factors of 128832

3. How to Find the LCM of 32, 96, 61, 704 ?

Least Common Multiple of 32, 96, 61, 704.

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, 96, 61, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 61 = 128832.