Least Common Multiple of 711/275, 863/472, 514/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/275, 863/472, 514/360 quickly i.e. 315386802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/275, 863/472, 514/360 is 315386802.

LCM(711/275, 863/472, 514/360) = 315386802

LCM of 711/275, 863/472, 514/360

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 711/275,863/472,514/360

Given numbers are 711/275,863/472,514/360

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 711,863,514

Least Common Multiple of Numerators i.e. LCM of 711,863,514 is 315386802.

GCF of Denominators means GCF of 275,472,360 as per the given fractions.

GCF of 275,472,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,863,514

LCM of Fractions 711/275,863/472,514/360 is 315386802

Given numbers has no common factors except 1. So, there LCM is their product i.e 315386802

Least Common Multiple of 711,863,514 with GCF Formula

Least Common Multiple of 711,863,514 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 711,863,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,863,514) = 1

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

GCF(711,863,514) x common factors =1 x 1 = 1

LCM(711,863,514) = ( 711 × 863 × 514 ) / 1

LCM(711,863,514) = 315386802 / 1

LCM(711,863,514) = 315386802


Lets's calculate GCF of 275,472,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315386802/1

Therefore the LCM of Fractions 711/275,863/472,514/360 is 315386802

Greatest Common Factor of 275,472,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,472,360 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 275,472,360 . The biggest common factor number is the GCF number.
So the greatest common factor 275,472,360 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 711/275, 863/472, 514/360

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 711/275, 863/472, 514/360?

Answer: LCM of Numerators as per given numbers 711/275, 863/472, 514/360 is

LCM of Numerators i.e. for 711,863,514 is 315386802

GCF of denominators i.e. for 275,472,360 is 1.

Thus, LCM of Fractions is 315386802.Finally, LCM of Fractions for 711/275, 863/472, 514/360 is 315386802.