Least Common Multiple of 6326/563, 6084/4912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6326/563, 6084/4912 quickly i.e. 19243692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6326/563, 6084/4912 is 19243692.

LCM(6326/563, 6084/4912) = 19243692

LCM of 6326/563, 6084/4912

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6326/563,6084/4912

Given numbers are 6326/563,6084/4912

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6326,6084

Least Common Multiple of Numerators i.e. LCM of 6326,6084 is 19243692.

GCF of Denominators means GCF of 563,4912 as per the given fractions.

GCF of 563,4912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6326,6084

LCM of Fractions 6326/563,6084/4912 is 19243692

2 6326, 6084
3163, 3042

∴ So the LCM of the given numbers is 2 x 3163 x 3042 = 19243692

Least Common Multiple of 6326,6084 with GCF Formula

Least Common Multiple of 6326,6084 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 6326,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6326,6084) = 2

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

GCF(6326,6084) x common factors =2 x 1 = 2

LCM(6326,6084) = ( 6326 × 6084 ) / 2

LCM(6326,6084) = 38487384 / 2

LCM(6326,6084) = 19243692


Lets's calculate GCF of 563,4912

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19243692/1

Therefore the LCM of Fractions 6326/563,6084/4912 is 19243692

Greatest Common Factor of 563,4912 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,4912 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 4912

List of positive integer factors of 4912 that divides 4912 without a remainder.

1,2,4,8,16,307,614,1228,2456,4912

Greatest Common Factor

We found the factors 563,4912 . The biggest common factor number is the GCF number.
So the greatest common factor 563,4912 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6326/563, 6084/4912

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6326/563, 6084/4912?

Answer: LCM of Numerators as per given numbers 6326/563, 6084/4912 is

LCM of Numerators i.e. for 6326,6084 is 19243692

GCF of denominators i.e. for 563,4912 is 1.

Thus, LCM of Fractions is 19243692.Finally, LCM of Fractions for 6326/563, 6084/4912 is 19243692.