Least Common Multiple of 9130/342, 7454/7248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9130/342, 7454/7248 quickly i.e. 34027510/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9130/342, 7454/7248 is 34027510/6.

LCM(9130/342, 7454/7248) = 34027510/6

LCM of 9130/342, 7454/7248

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 9130/342,7454/7248

Given numbers are 9130/342,7454/7248

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 9130,7454

Least Common Multiple of Numerators i.e. LCM of 9130,7454 is 34027510.

GCF of Denominators means GCF of 342,7248 as per the given fractions.

GCF of 342,7248 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9130,7454

LCM of Fractions 9130/342,7454/7248 is 34027510/6

2 9130, 7454
4565, 3727

∴ So the LCM of the given numbers is 2 x 4565 x 3727 = 34027510

Least Common Multiple of 9130,7454 with GCF Formula

Least Common Multiple of 9130,7454 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 9130,7454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9130,7454) = 2

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

GCF(9130,7454) x common factors =2 x 1 = 2

LCM(9130,7454) = ( 9130 × 7454 ) / 2

LCM(9130,7454) = 68055020 / 2

LCM(9130,7454) = 34027510


Lets's calculate GCF of 342,7248

2 342, 7248
3 171, 3624
57, 1208

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34027510/6

Therefore the LCM of Fractions 9130/342,7454/7248 is 34027510/6

Greatest Common Factor of 342,7248 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,7248 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 7248

List of positive integer factors of 7248 that divides 7248 without a remainder.

1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248

Greatest Common Factor

We found the factors 342,7248 . The biggest common factor number is the GCF number.
So the greatest common factor 342,7248 is 6.


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 9130/342, 7454/7248

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 9130/342, 7454/7248?

Answer: LCM of Numerators as per given numbers 9130/342, 7454/7248 is

LCM of Numerators i.e. for 9130,7454 is 34027510

GCF of denominators i.e. for 342,7248 is 6.

Thus, LCM of Fractions is 34027510/6.Finally, LCM of Fractions for 9130/342, 7454/7248 is 34027510/6.