Least Common Multiple of 1959/721, 6303/5292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1959/721, 6303/5292 quickly i.e. 4115859/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1959/721, 6303/5292 is 4115859/7.

LCM(1959/721, 6303/5292) = 4115859/7

LCM of 1959/721, 6303/5292

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 1959/721,6303/5292

Given numbers are 1959/721,6303/5292

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 1959,6303

Least Common Multiple of Numerators i.e. LCM of 1959,6303 is 4115859.

GCF of Denominators means GCF of 721,5292 as per the given fractions.

GCF of 721,5292 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1959,6303

LCM of Fractions 1959/721,6303/5292 is 4115859/7

3 1959, 6303
653, 2101

∴ So the LCM of the given numbers is 3 x 653 x 2101 = 4115859

Least Common Multiple of 1959,6303 with GCF Formula

Least Common Multiple of 1959,6303 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 1959,6303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1959,6303) = 3

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

GCF(1959,6303) x common factors =3 x 1 = 3

LCM(1959,6303) = ( 1959 × 6303 ) / 3

LCM(1959,6303) = 12347577 / 3

LCM(1959,6303) = 4115859


Lets's calculate GCF of 721,5292

7 721, 5292
103, 756

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4115859/7

Therefore the LCM of Fractions 1959/721,6303/5292 is 4115859/7

Greatest Common Factor of 721,5292 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,5292 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 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292

Greatest Common Factor

We found the factors 721,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 721,5292 is 7.


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 1959/721, 6303/5292

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 1959/721, 6303/5292?

Answer: LCM of Numerators as per given numbers 1959/721, 6303/5292 is

LCM of Numerators i.e. for 1959,6303 is 4115859

GCF of denominators i.e. for 721,5292 is 7.

Thus, LCM of Fractions is 4115859/7.Finally, LCM of Fractions for 1959/721, 6303/5292 is 4115859/7.