Least Common Multiple of 8296/73, 9420/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8296/73, 9420/532 quickly i.e. 19537080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8296/73, 9420/532 is 19537080.

LCM(8296/73, 9420/532) = 19537080

LCM of 8296/73, 9420/532

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 8296/73,9420/532

Given numbers are 8296/73,9420/532

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 8296,9420

Least Common Multiple of Numerators i.e. LCM of 8296,9420 is 19537080.

GCF of Denominators means GCF of 73,532 as per the given fractions.

GCF of 73,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8296,9420

LCM of Fractions 8296/73,9420/532 is 19537080

2 8296, 9420
2 4148, 4710
2074, 2355

∴ So the LCM of the given numbers is 2 x 2 x 2074 x 2355 = 19537080

Least Common Multiple of 8296,9420 with GCF Formula

Least Common Multiple of 8296,9420 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 8296,9420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8296,9420) = 4

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

GCF(8296,9420) x common factors =4 x 1 = 4

LCM(8296,9420) = ( 8296 × 9420 ) / 4

LCM(8296,9420) = 78148320 / 4

LCM(8296,9420) = 19537080


Lets's calculate GCF of 73,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19537080/1

Therefore the LCM of Fractions 8296/73,9420/532 is 19537080

Greatest Common Factor of 73,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,532 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 73,532 . The biggest common factor number is the GCF number.
So the greatest common factor 73,532 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 8296/73, 9420/532

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 8296/73, 9420/532?

Answer: LCM of Numerators as per given numbers 8296/73, 9420/532 is

LCM of Numerators i.e. for 8296,9420 is 19537080

GCF of denominators i.e. for 73,532 is 1.

Thus, LCM of Fractions is 19537080.Finally, LCM of Fractions for 8296/73, 9420/532 is 19537080.