Least Common Multiple of 96, 704, 968

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 96, 704, 968 i.e. 23232 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 704, 968 is 23232.

LCM(96, 704, 968) = 23232

LCM of 96, 704, 968

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

LCM of:

Least Common Multiple of 96,704,968

Least Common Multiple (LCM) of 96,704,968 is 23232

2 96, 704, 968
2 48, 352, 484
2 24, 176, 242
2 12, 88, 121
2 6, 44, 121
11 3, 22, 121
3, 2, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 3 x 2 x 11 = 23232

Least Common Multiple of 96,704,968 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 96,704,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,704,968) = 8

common factors(in case of two or more numbers have common factors) = 352

GCF(96,704,968) x common factors =8 x 352 = 2816

LCM(96,704,968) = ( 96 × 704 × 968 ) / 2816

LCM(96,704,968) = 65421312 / 2816

LCM(96,704,968) = 23232

∴ Least Common Multiple of 96,704,968 is 23232

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 96, 704, 968

1. What is the LCM of 96, 704, 968?

Answer: LCM of 96, 704, 968 is 23232.

2. What are the Factors of 23232?

Answer: Factors of 23232 are . There are integers that are factors of 23232

3. How to Find the LCM of 96, 704, 968 ?

Least Common Multiple of 96, 704, 968.

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(96, 704, 968) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 = 23232.