Least Common Multiple of 7146/353, 8439/4155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7146/353, 8439/4155 quickly i.e. 20101698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7146/353, 8439/4155 is 20101698.

LCM(7146/353, 8439/4155) = 20101698

LCM of 7146/353, 8439/4155

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 7146/353,8439/4155

Given numbers are 7146/353,8439/4155

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 7146,8439

Least Common Multiple of Numerators i.e. LCM of 7146,8439 is 20101698.

GCF of Denominators means GCF of 353,4155 as per the given fractions.

GCF of 353,4155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7146,8439

LCM of Fractions 7146/353,8439/4155 is 20101698

3 7146, 8439
2382, 2813

∴ So the LCM of the given numbers is 3 x 2382 x 2813 = 20101698

Least Common Multiple of 7146,8439 with GCF Formula

Least Common Multiple of 7146,8439 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 7146,8439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7146,8439) = 3

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

GCF(7146,8439) x common factors =3 x 1 = 3

LCM(7146,8439) = ( 7146 × 8439 ) / 3

LCM(7146,8439) = 60305094 / 3

LCM(7146,8439) = 20101698


Lets's calculate GCF of 353,4155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20101698/1

Therefore the LCM of Fractions 7146/353,8439/4155 is 20101698

Greatest Common Factor of 353,4155 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,4155 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 4155

List of positive integer factors of 4155 that divides 4155 without a remainder.

1,3,5,15,277,831,1385,4155

Greatest Common Factor

We found the factors 353,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 353,4155 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 7146/353, 8439/4155

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 7146/353, 8439/4155?

Answer: LCM of Numerators as per given numbers 7146/353, 8439/4155 is

LCM of Numerators i.e. for 7146,8439 is 20101698

GCF of denominators i.e. for 353,4155 is 1.

Thus, LCM of Fractions is 20101698.Finally, LCM of Fractions for 7146/353, 8439/4155 is 20101698.