Least Common Multiple of 9523/721, 1965/5224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9523/721, 1965/5224 quickly i.e. 18712695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9523/721, 1965/5224 is 18712695.

LCM(9523/721, 1965/5224) = 18712695

LCM of 9523/721, 1965/5224

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 9523/721,1965/5224

Given numbers are 9523/721,1965/5224

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 9523,1965

Least Common Multiple of Numerators i.e. LCM of 9523,1965 is 18712695.

GCF of Denominators means GCF of 721,5224 as per the given fractions.

GCF of 721,5224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9523,1965

LCM of Fractions 9523/721,1965/5224 is 18712695

Given numbers has no common factors except 1. So, there LCM is their product i.e 18712695

Least Common Multiple of 9523,1965 with GCF Formula

Least Common Multiple of 9523,1965 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 9523,1965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9523,1965) = 1

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

GCF(9523,1965) x common factors =1 x 1 = 1

LCM(9523,1965) = ( 9523 × 1965 ) / 1

LCM(9523,1965) = 18712695 / 1

LCM(9523,1965) = 18712695


Lets's calculate GCF of 721,5224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18712695/1

Therefore the LCM of Fractions 9523/721,1965/5224 is 18712695

Greatest Common Factor of 721,5224 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,5224 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1,2,4,8,653,1306,2612,5224

Greatest Common Factor

We found the factors 721,5224 . The biggest common factor number is the GCF number.
So the greatest common factor 721,5224 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 9523/721, 1965/5224

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 9523/721, 1965/5224?

Answer: LCM of Numerators as per given numbers 9523/721, 1965/5224 is

LCM of Numerators i.e. for 9523,1965 is 18712695

GCF of denominators i.e. for 721,5224 is 1.

Thus, LCM of Fractions is 18712695.Finally, LCM of Fractions for 9523/721, 1965/5224 is 18712695.