Least Common Multiple of 9919/720, 9761/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9919/720, 9761/267 quickly i.e. 96819359/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9919/720, 9761/267 is 96819359/3.

LCM(9919/720, 9761/267) = 96819359/3

LCM of 9919/720, 9761/267

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 9919/720,9761/267

Given numbers are 9919/720,9761/267

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 9919,9761

Least Common Multiple of Numerators i.e. LCM of 9919,9761 is 96819359.

GCF of Denominators means GCF of 720,267 as per the given fractions.

GCF of 720,267 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9919,9761

LCM of Fractions 9919/720,9761/267 is 96819359/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 96819359

Least Common Multiple of 9919,9761 with GCF Formula

Least Common Multiple of 9919,9761 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 9919,9761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9919,9761) = 1

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

GCF(9919,9761) x common factors =1 x 1 = 1

LCM(9919,9761) = ( 9919 × 9761 ) / 1

LCM(9919,9761) = 96819359 / 1

LCM(9919,9761) = 96819359


Lets's calculate GCF of 720,267

3 720, 267
240, 89

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96819359/3

Therefore the LCM of Fractions 9919/720,9761/267 is 96819359/3

Greatest Common Factor of 720,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,267 By Matching Biggest Common Factor Method

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

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 720,267 . The biggest common factor number is the GCF number.
So the greatest common factor 720,267 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9919/720, 9761/267

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 9919/720, 9761/267?

Answer: LCM of Numerators as per given numbers 9919/720, 9761/267 is

LCM of Numerators i.e. for 9919,9761 is 96819359

GCF of denominators i.e. for 720,267 is 3.

Thus, LCM of Fractions is 96819359/3.Finally, LCM of Fractions for 9919/720, 9761/267 is 96819359/3.