Least Common Multiple of 7210/654, 5187/1564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7210/654, 5187/1564 quickly i.e. 2671305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7210/654, 5187/1564 is 2671305.

LCM(7210/654, 5187/1564) = 2671305

LCM of 7210/654, 5187/1564

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 7210/654,5187/1564

Given numbers are 7210/654,5187/1564

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 7210,5187

Least Common Multiple of Numerators i.e. LCM of 7210,5187 is 5342610.

GCF of Denominators means GCF of 654,1564 as per the given fractions.

GCF of 654,1564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7210,5187

LCM of Fractions 7210/654,5187/1564 is 2671305

7 7210, 5187
1030, 741

∴ So the LCM of the given numbers is 7 x 1030 x 741 = 5342610

Least Common Multiple of 7210,5187 with GCF Formula

Least Common Multiple of 7210,5187 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 7210,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7210,5187) = 7

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

GCF(7210,5187) x common factors =7 x 1 = 7

LCM(7210,5187) = ( 7210 × 5187 ) / 7

LCM(7210,5187) = 37398270 / 7

LCM(7210,5187) = 5342610


Lets's calculate GCF of 654,1564

2 654, 1564
327, 782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5342610/2

Therefore the LCM of Fractions 7210/654,5187/1564 is 2671305

Greatest Common Factor of 654,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,1564 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 654,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 654,1564 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 7210/654, 5187/1564

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 7210/654, 5187/1564?

Answer: LCM of Numerators as per given numbers 7210/654, 5187/1564 is

LCM of Numerators i.e. for 7210,5187 is 5342610

GCF of denominators i.e. for 654,1564 is 2.

Thus, LCM of Fractions is 2671305.Finally, LCM of Fractions for 7210/654, 5187/1564 is 2671305.