Least Common Multiple of 564/519, 243/823, 442/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/519, 243/823, 442/896 quickly i.e. 10096164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/519, 243/823, 442/896 is 10096164.

LCM(564/519, 243/823, 442/896) = 10096164

LCM of 564/519, 243/823, 442/896

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 564/519,243/823,442/896

Given numbers are 564/519,243/823,442/896

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 564,243,442

Least Common Multiple of Numerators i.e. LCM of 564,243,442 is 10096164.

GCF of Denominators means GCF of 519,823,896 as per the given fractions.

GCF of 519,823,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,243,442

LCM of Fractions 564/519,243/823,442/896 is 10096164

2 564, 243, 442
3 282, 243, 221
94, 81, 221

∴ So the LCM of the given numbers is 2 x 3 x 94 x 81 x 221 = 10096164

Least Common Multiple of 564,243,442 with GCF Formula

Least Common Multiple of 564,243,442 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 564,243,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,243,442) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(564,243,442) x common factors =1 x 6 = 6

LCM(564,243,442) = ( 564 × 243 × 442 ) / 6

LCM(564,243,442) = 60576984 / 6

LCM(564,243,442) = 10096164


Lets's calculate GCF of 519,823,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10096164/1

Therefore the LCM of Fractions 564/519,243/823,442/896 is 10096164

Greatest Common Factor of 519,823,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,823,896 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 519,823,896 . The biggest common factor number is the GCF number.
So the greatest common factor 519,823,896 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 564/519, 243/823, 442/896

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 564/519, 243/823, 442/896?

Answer: LCM of Numerators as per given numbers 564/519, 243/823, 442/896 is

LCM of Numerators i.e. for 564,243,442 is 10096164

GCF of denominators i.e. for 519,823,896 is 1.

Thus, LCM of Fractions is 10096164.Finally, LCM of Fractions for 564/519, 243/823, 442/896 is 10096164.