Least Common Multiple of 99/50, 91/71, 312/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/50, 91/71, 312/720 quickly i.e. 72072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/50, 91/71, 312/720 is 72072.

LCM(99/50, 91/71, 312/720) = 72072

LCM of 99/50, 91/71, 312/720

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 99/50,91/71,312/720

Given numbers are 99/50,91/71,312/720

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 99,91,312

Least Common Multiple of Numerators i.e. LCM of 99,91,312 is 72072.

GCF of Denominators means GCF of 50,71,720 as per the given fractions.

GCF of 50,71,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,91,312

LCM of Fractions 99/50,91/71,312/720 is 72072

3 99, 91, 312
13 33, 91, 104
33, 7, 8

∴ So the LCM of the given numbers is 3 x 13 x 33 x 7 x 8 = 72072

Least Common Multiple of 99,91,312 with GCF Formula

Least Common Multiple of 99,91,312 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 99,91,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,91,312) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(99,91,312) x common factors =1 x 39 = 39

LCM(99,91,312) = ( 99 × 91 × 312 ) / 39

LCM(99,91,312) = 2810808 / 39

LCM(99,91,312) = 72072


Lets's calculate GCF of 50,71,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72072/1

Therefore the LCM of Fractions 99/50,91/71,312/720 is 72072

Greatest Common Factor of 50,71,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,71,720 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 50,71,720 . The biggest common factor number is the GCF number.
So the greatest common factor 50,71,720 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 99/50, 91/71, 312/720

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 99/50, 91/71, 312/720?

Answer: LCM of Numerators as per given numbers 99/50, 91/71, 312/720 is

LCM of Numerators i.e. for 99,91,312 is 72072

GCF of denominators i.e. for 50,71,720 is 1.

Thus, LCM of Fractions is 72072.Finally, LCM of Fractions for 99/50, 91/71, 312/720 is 72072.