Least Common Multiple of 896, 6384

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, 6384 i.e. 51072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 896, 6384 is 51072.

LCM(896, 6384) = 51072

LCM of 896, 6384

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

LCM of:

Least Common Multiple of 896,6384

Least Common Multiple (LCM) of 896,6384 is 51072

2 896, 6384
2 448, 3192
2 224, 1596
2 112, 798
7 56, 399
8, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 8 x 57 = 51072

Least Common Multiple of 896,6384 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 896,6384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,6384) = 112

common factors(in case of two or more numbers have common factors) = 1

GCF(896,6384) x common factors =112 x 1 = 112

LCM(896,6384) = ( 896 × 6384 ) / 112

LCM(896,6384) = 5720064 / 112

LCM(896,6384) = 51072

∴ Least Common Multiple of 896,6384 is 51072

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 896, 6384

1. What is the LCM of 896, 6384?

Answer: LCM of 896, 6384 is 51072.

2. What are the Factors of 51072?

Answer: Factors of 51072 are . There are integers that are factors of 51072

3. How to Find the LCM of 896, 6384 ?

Least Common Multiple of 896, 6384.

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, 6384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 = 51072.