Least Common Multiple of 896, 512, 504

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 896, 512, 504 i.e. 32256 smallest integer divisible by all numbers.

Least common multiple (LCM) of 896, 512, 504 is 32256.

LCM(896, 512, 504) = 32256

LCM of 896, 512, 504

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

LCM of:

Least Common Multiple of 896,512,504

Least Common Multiple (LCM) of 896,512,504 is 32256

2 896, 512, 504
2 448, 256, 252
2 224, 128, 126
2 112, 64, 63
2 56, 32, 63
2 28, 16, 63
2 14, 8, 63
7 7, 4, 63
1, 4, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 1 x 4 x 9 = 32256

Least Common Multiple of 896,512,504 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 896,512,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,512,504) = 8

common factors(in case of two or more numbers have common factors) = 896

GCF(896,512,504) x common factors =8 x 896 = 7168

LCM(896,512,504) = ( 896 × 512 × 504 ) / 7168

LCM(896,512,504) = 231211008 / 7168

LCM(896,512,504) = 32256

∴ Least Common Multiple of 896,512,504 is 32256

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 896, 512, 504

1. What is the LCM of 896, 512, 504?

Answer: LCM of 896, 512, 504 is 32256.

2. What are the Factors of 32256?

Answer: Factors of 32256 are . There are integers that are factors of 32256

3. How to Find the LCM of 896, 512, 504 ?

Least Common Multiple of 896, 512, 504.

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(896, 512, 504) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 32256.