Least Common Multiple of 8114/423, 5584/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8114/423, 5584/684 quickly i.e. 22654288/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8114/423, 5584/684 is 22654288/9.

LCM(8114/423, 5584/684) = 22654288/9

LCM of 8114/423, 5584/684

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 8114/423,5584/684

Given numbers are 8114/423,5584/684

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 8114,5584

Least Common Multiple of Numerators i.e. LCM of 8114,5584 is 22654288.

GCF of Denominators means GCF of 423,684 as per the given fractions.

GCF of 423,684 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8114,5584

LCM of Fractions 8114/423,5584/684 is 22654288/9

2 8114, 5584
4057, 2792

∴ So the LCM of the given numbers is 2 x 4057 x 2792 = 22654288

Least Common Multiple of 8114,5584 with GCF Formula

Least Common Multiple of 8114,5584 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 8114,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8114,5584) = 2

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

GCF(8114,5584) x common factors =2 x 1 = 2

LCM(8114,5584) = ( 8114 × 5584 ) / 2

LCM(8114,5584) = 45308576 / 2

LCM(8114,5584) = 22654288


Lets's calculate GCF of 423,684

3 423, 684
3 141, 228
47, 76

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22654288/9

Therefore the LCM of Fractions 8114/423,5584/684 is 22654288/9

Greatest Common Factor of 423,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,684 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 423,684 . The biggest common factor number is the GCF number.
So the greatest common factor 423,684 is 9.


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 8114/423, 5584/684

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 8114/423, 5584/684?

Answer: LCM of Numerators as per given numbers 8114/423, 5584/684 is

LCM of Numerators i.e. for 8114,5584 is 22654288

GCF of denominators i.e. for 423,684 is 9.

Thus, LCM of Fractions is 22654288/9.Finally, LCM of Fractions for 8114/423, 5584/684 is 22654288/9.