Least Common Multiple of 368/413, 8539/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/413, 8539/282 quickly i.e. 3142352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/413, 8539/282 is 3142352.

LCM(368/413, 8539/282) = 3142352

LCM of 368/413, 8539/282

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 368/413,8539/282

Given numbers are 368/413,8539/282

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 368,8539

Least Common Multiple of Numerators i.e. LCM of 368,8539 is 3142352.

GCF of Denominators means GCF of 413,282 as per the given fractions.

GCF of 413,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,8539

LCM of Fractions 368/413,8539/282 is 3142352

Given numbers has no common factors except 1. So, there LCM is their product i.e 3142352

Least Common Multiple of 368,8539 with GCF Formula

Least Common Multiple of 368,8539 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 368,8539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,8539) = 1

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

GCF(368,8539) x common factors =1 x 1 = 1

LCM(368,8539) = ( 368 × 8539 ) / 1

LCM(368,8539) = 3142352 / 1

LCM(368,8539) = 3142352


Lets's calculate GCF of 413,282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3142352/1

Therefore the LCM of Fractions 368/413,8539/282 is 3142352

Greatest Common Factor of 413,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,282 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 413,282 . The biggest common factor number is the GCF number.
So the greatest common factor 413,282 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 368/413, 8539/282

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 368/413, 8539/282?

Answer: LCM of Numerators as per given numbers 368/413, 8539/282 is

LCM of Numerators i.e. for 368,8539 is 3142352

GCF of denominators i.e. for 413,282 is 1.

Thus, LCM of Fractions is 3142352.Finally, LCM of Fractions for 368/413, 8539/282 is 3142352.