Least Common Multiple of 7268/867, 8299/2824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7268/867, 8299/2824 quickly i.e. 60317132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7268/867, 8299/2824 is 60317132.

LCM(7268/867, 8299/2824) = 60317132

LCM of 7268/867, 8299/2824

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 7268/867,8299/2824

Given numbers are 7268/867,8299/2824

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 7268,8299

Least Common Multiple of Numerators i.e. LCM of 7268,8299 is 60317132.

GCF of Denominators means GCF of 867,2824 as per the given fractions.

GCF of 867,2824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7268,8299

LCM of Fractions 7268/867,8299/2824 is 60317132

Given numbers has no common factors except 1. So, there LCM is their product i.e 60317132

Least Common Multiple of 7268,8299 with GCF Formula

Least Common Multiple of 7268,8299 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 7268,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7268,8299) = 1

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

GCF(7268,8299) x common factors =1 x 1 = 1

LCM(7268,8299) = ( 7268 × 8299 ) / 1

LCM(7268,8299) = 60317132 / 1

LCM(7268,8299) = 60317132


Lets's calculate GCF of 867,2824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60317132/1

Therefore the LCM of Fractions 7268/867,8299/2824 is 60317132

Greatest Common Factor of 867,2824 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,2824 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1,2,4,8,353,706,1412,2824

Greatest Common Factor

We found the factors 867,2824 . The biggest common factor number is the GCF number.
So the greatest common factor 867,2824 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 7268/867, 8299/2824

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 7268/867, 8299/2824?

Answer: LCM of Numerators as per given numbers 7268/867, 8299/2824 is

LCM of Numerators i.e. for 7268,8299 is 60317132

GCF of denominators i.e. for 867,2824 is 1.

Thus, LCM of Fractions is 60317132.Finally, LCM of Fractions for 7268/867, 8299/2824 is 60317132.