Least Common Multiple of 180/514, 6231/7281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/514, 6231/7281 quickly i.e. 373860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/514, 6231/7281 is 373860.

LCM(180/514, 6231/7281) = 373860

LCM of 180/514, 6231/7281

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 180/514,6231/7281

Given numbers are 180/514,6231/7281

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 180,6231

Least Common Multiple of Numerators i.e. LCM of 180,6231 is 373860.

GCF of Denominators means GCF of 514,7281 as per the given fractions.

GCF of 514,7281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,6231

LCM of Fractions 180/514,6231/7281 is 373860

3 180, 6231
60, 2077

∴ So the LCM of the given numbers is 3 x 60 x 2077 = 373860

Least Common Multiple of 180,6231 with GCF Formula

Least Common Multiple of 180,6231 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 180,6231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,6231) = 3

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

GCF(180,6231) x common factors =3 x 1 = 3

LCM(180,6231) = ( 180 × 6231 ) / 3

LCM(180,6231) = 1121580 / 3

LCM(180,6231) = 373860


Lets's calculate GCF of 514,7281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373860/1

Therefore the LCM of Fractions 180/514,6231/7281 is 373860

Greatest Common Factor of 514,7281 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,7281 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 7281

List of positive integer factors of 7281 that divides 7281 without a remainder.

1,3,9,809,2427,7281

Greatest Common Factor

We found the factors 514,7281 . The biggest common factor number is the GCF number.
So the greatest common factor 514,7281 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 180/514, 6231/7281

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 180/514, 6231/7281?

Answer: LCM of Numerators as per given numbers 180/514, 6231/7281 is

LCM of Numerators i.e. for 180,6231 is 373860

GCF of denominators i.e. for 514,7281 is 1.

Thus, LCM of Fractions is 373860.Finally, LCM of Fractions for 180/514, 6231/7281 is 373860.