Least Common Multiple of 7413/820, 3176/9298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7413/820, 3176/9298 quickly i.e. 11771844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7413/820, 3176/9298 is 11771844.

LCM(7413/820, 3176/9298) = 11771844

LCM of 7413/820, 3176/9298

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 7413/820,3176/9298

Given numbers are 7413/820,3176/9298

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 7413,3176

Least Common Multiple of Numerators i.e. LCM of 7413,3176 is 23543688.

GCF of Denominators means GCF of 820,9298 as per the given fractions.

GCF of 820,9298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7413,3176

LCM of Fractions 7413/820,3176/9298 is 11771844

Given numbers has no common factors except 1. So, there LCM is their product i.e 23543688

Least Common Multiple of 7413,3176 with GCF Formula

Least Common Multiple of 7413,3176 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 7413,3176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7413,3176) = 1

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

GCF(7413,3176) x common factors =1 x 1 = 1

LCM(7413,3176) = ( 7413 × 3176 ) / 1

LCM(7413,3176) = 23543688 / 1

LCM(7413,3176) = 23543688


Lets's calculate GCF of 820,9298

2 820, 9298
410, 4649

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23543688/2

Therefore the LCM of Fractions 7413/820,3176/9298 is 11771844

Greatest Common Factor of 820,9298 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,9298 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1,2,4649,9298

Greatest Common Factor

We found the factors 820,9298 . The biggest common factor number is the GCF number.
So the greatest common factor 820,9298 is 2.


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 7413/820, 3176/9298

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 7413/820, 3176/9298?

Answer: LCM of Numerators as per given numbers 7413/820, 3176/9298 is

LCM of Numerators i.e. for 7413,3176 is 23543688

GCF of denominators i.e. for 820,9298 is 2.

Thus, LCM of Fractions is 11771844.Finally, LCM of Fractions for 7413/820, 3176/9298 is 11771844.