Least Common Multiple of 8723/766, 5213/2740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8723/766, 5213/2740 quickly i.e. 3497923/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8723/766, 5213/2740 is 3497923/2.

LCM(8723/766, 5213/2740) = 3497923/2

LCM of 8723/766, 5213/2740

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 8723/766,5213/2740

Given numbers are 8723/766,5213/2740

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 8723,5213

Least Common Multiple of Numerators i.e. LCM of 8723,5213 is 3497923.

GCF of Denominators means GCF of 766,2740 as per the given fractions.

GCF of 766,2740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8723,5213

LCM of Fractions 8723/766,5213/2740 is 3497923/2

13 8723, 5213
671, 401

∴ So the LCM of the given numbers is 13 x 671 x 401 = 3497923

Least Common Multiple of 8723,5213 with GCF Formula

Least Common Multiple of 8723,5213 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 8723,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8723,5213) = 13

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

GCF(8723,5213) x common factors =13 x 1 = 13

LCM(8723,5213) = ( 8723 × 5213 ) / 13

LCM(8723,5213) = 45472999 / 13

LCM(8723,5213) = 3497923


Lets's calculate GCF of 766,2740

2 766, 2740
383, 1370

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3497923/2

Therefore the LCM of Fractions 8723/766,5213/2740 is 3497923/2

Greatest Common Factor of 766,2740 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,2740 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 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Greatest Common Factor

We found the factors 766,2740 . The biggest common factor number is the GCF number.
So the greatest common factor 766,2740 is 2.


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 8723/766, 5213/2740

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 8723/766, 5213/2740?

Answer: LCM of Numerators as per given numbers 8723/766, 5213/2740 is

LCM of Numerators i.e. for 8723,5213 is 3497923

GCF of denominators i.e. for 766,2740 is 2.

Thus, LCM of Fractions is 3497923/2.Finally, LCM of Fractions for 8723/766, 5213/2740 is 3497923/2.