Least Common Multiple of 8680/284, 9233/4817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8680/284, 9233/4817 quickly i.e. 11448920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8680/284, 9233/4817 is 11448920.

LCM(8680/284, 9233/4817) = 11448920

LCM of 8680/284, 9233/4817

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 8680/284,9233/4817

Given numbers are 8680/284,9233/4817

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 8680,9233

Least Common Multiple of Numerators i.e. LCM of 8680,9233 is 11448920.

GCF of Denominators means GCF of 284,4817 as per the given fractions.

GCF of 284,4817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8680,9233

LCM of Fractions 8680/284,9233/4817 is 11448920

7 8680, 9233
1240, 1319

∴ So the LCM of the given numbers is 7 x 1240 x 1319 = 11448920

Least Common Multiple of 8680,9233 with GCF Formula

Least Common Multiple of 8680,9233 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 8680,9233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8680,9233) = 7

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

GCF(8680,9233) x common factors =7 x 1 = 7

LCM(8680,9233) = ( 8680 × 9233 ) / 7

LCM(8680,9233) = 80142440 / 7

LCM(8680,9233) = 11448920


Lets's calculate GCF of 284,4817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11448920/1

Therefore the LCM of Fractions 8680/284,9233/4817 is 11448920

Greatest Common Factor of 284,4817 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,4817 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 4817

List of positive integer factors of 4817 that divides 4817 without a remainder.

1,4817

Greatest Common Factor

We found the factors 284,4817 . The biggest common factor number is the GCF number.
So the greatest common factor 284,4817 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 8680/284, 9233/4817

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 8680/284, 9233/4817?

Answer: LCM of Numerators as per given numbers 8680/284, 9233/4817 is

LCM of Numerators i.e. for 8680,9233 is 11448920

GCF of denominators i.e. for 284,4817 is 1.

Thus, LCM of Fractions is 11448920.Finally, LCM of Fractions for 8680/284, 9233/4817 is 11448920.