Least Common Multiple of 8341/239, 5125/6312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8341/239, 5125/6312 quickly i.e. 42747625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8341/239, 5125/6312 is 42747625.

LCM(8341/239, 5125/6312) = 42747625

LCM of 8341/239, 5125/6312

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 8341/239,5125/6312

Given numbers are 8341/239,5125/6312

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 8341,5125

Least Common Multiple of Numerators i.e. LCM of 8341,5125 is 42747625.

GCF of Denominators means GCF of 239,6312 as per the given fractions.

GCF of 239,6312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8341,5125

LCM of Fractions 8341/239,5125/6312 is 42747625

Given numbers has no common factors except 1. So, there LCM is their product i.e 42747625

Least Common Multiple of 8341,5125 with GCF Formula

Least Common Multiple of 8341,5125 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 8341,5125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8341,5125) = 1

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

GCF(8341,5125) x common factors =1 x 1 = 1

LCM(8341,5125) = ( 8341 × 5125 ) / 1

LCM(8341,5125) = 42747625 / 1

LCM(8341,5125) = 42747625


Lets's calculate GCF of 239,6312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42747625/1

Therefore the LCM of Fractions 8341/239,5125/6312 is 42747625

Greatest Common Factor of 239,6312 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,6312 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 6312

List of positive integer factors of 6312 that divides 6312 without a remainder.

1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312

Greatest Common Factor

We found the factors 239,6312 . The biggest common factor number is the GCF number.
So the greatest common factor 239,6312 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8341/239, 5125/6312

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 8341/239, 5125/6312?

Answer: LCM of Numerators as per given numbers 8341/239, 5125/6312 is

LCM of Numerators i.e. for 8341,5125 is 42747625

GCF of denominators i.e. for 239,6312 is 1.

Thus, LCM of Fractions is 42747625.Finally, LCM of Fractions for 8341/239, 5125/6312 is 42747625.