Least Common Multiple of 824/766, 3090/8937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/766, 3090/8937 quickly i.e. 12360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/766, 3090/8937 is 12360.

LCM(824/766, 3090/8937) = 12360

LCM of 824/766, 3090/8937

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 824/766,3090/8937

Given numbers are 824/766,3090/8937

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 824,3090

Least Common Multiple of Numerators i.e. LCM of 824,3090 is 12360.

GCF of Denominators means GCF of 766,8937 as per the given fractions.

GCF of 766,8937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,3090

LCM of Fractions 824/766,3090/8937 is 12360

2 824, 3090
103 412, 1545
4, 15

∴ So the LCM of the given numbers is 2 x 103 x 4 x 15 = 12360

Least Common Multiple of 824,3090 with GCF Formula

Least Common Multiple of 824,3090 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 824,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,3090) = 206

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

GCF(824,3090) x common factors =206 x 1 = 206

LCM(824,3090) = ( 824 × 3090 ) / 206

LCM(824,3090) = 2546160 / 206

LCM(824,3090) = 12360


Lets's calculate GCF of 766,8937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12360/1

Therefore the LCM of Fractions 824/766,3090/8937 is 12360

Greatest Common Factor of 766,8937 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,8937 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 8937

List of positive integer factors of 8937 that divides 8937 without a remainder.

1,3,9,27,331,993,2979,8937

Greatest Common Factor

We found the factors 766,8937 . The biggest common factor number is the GCF number.
So the greatest common factor 766,8937 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 824/766, 3090/8937

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 824/766, 3090/8937?

Answer: LCM of Numerators as per given numbers 824/766, 3090/8937 is

LCM of Numerators i.e. for 824,3090 is 12360

GCF of denominators i.e. for 766,8937 is 1.

Thus, LCM of Fractions is 12360.Finally, LCM of Fractions for 824/766, 3090/8937 is 12360.