Least Common Multiple of 5300/527, 7032/2316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5300/527, 7032/2316 quickly i.e. 9317400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5300/527, 7032/2316 is 9317400.

LCM(5300/527, 7032/2316) = 9317400

LCM of 5300/527, 7032/2316

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 5300/527,7032/2316

Given numbers are 5300/527,7032/2316

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 5300,7032

Least Common Multiple of Numerators i.e. LCM of 5300,7032 is 9317400.

GCF of Denominators means GCF of 527,2316 as per the given fractions.

GCF of 527,2316 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5300,7032

LCM of Fractions 5300/527,7032/2316 is 9317400

2 5300, 7032
2 2650, 3516
1325, 1758

∴ So the LCM of the given numbers is 2 x 2 x 1325 x 1758 = 9317400

Least Common Multiple of 5300,7032 with GCF Formula

Least Common Multiple of 5300,7032 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 5300,7032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5300,7032) = 4

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

GCF(5300,7032) x common factors =4 x 1 = 4

LCM(5300,7032) = ( 5300 × 7032 ) / 4

LCM(5300,7032) = 37269600 / 4

LCM(5300,7032) = 9317400


Lets's calculate GCF of 527,2316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9317400/1

Therefore the LCM of Fractions 5300/527,7032/2316 is 9317400

Greatest Common Factor of 527,2316 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,2316 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 2316

List of positive integer factors of 2316 that divides 2316 without a remainder.

1,2,3,4,6,12,193,386,579,772,1158,2316

Greatest Common Factor

We found the factors 527,2316 . The biggest common factor number is the GCF number.
So the greatest common factor 527,2316 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 5300/527, 7032/2316

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 5300/527, 7032/2316?

Answer: LCM of Numerators as per given numbers 5300/527, 7032/2316 is

LCM of Numerators i.e. for 5300,7032 is 9317400

GCF of denominators i.e. for 527,2316 is 1.

Thus, LCM of Fractions is 9317400.Finally, LCM of Fractions for 5300/527, 7032/2316 is 9317400.