Least Common Multiple of 286/74, 337/8329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/74, 337/8329 quickly i.e. 96382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/74, 337/8329 is 96382.

LCM(286/74, 337/8329) = 96382

LCM of 286/74, 337/8329

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 286/74,337/8329

Given numbers are 286/74,337/8329

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 286,337

Least Common Multiple of Numerators i.e. LCM of 286,337 is 96382.

GCF of Denominators means GCF of 74,8329 as per the given fractions.

GCF of 74,8329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,337

LCM of Fractions 286/74,337/8329 is 96382

Given numbers has no common factors except 1. So, there LCM is their product i.e 96382

Least Common Multiple of 286,337 with GCF Formula

Least Common Multiple of 286,337 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 286,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,337) = 1

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

GCF(286,337) x common factors =1 x 1 = 1

LCM(286,337) = ( 286 × 337 ) / 1

LCM(286,337) = 96382 / 1

LCM(286,337) = 96382


Lets's calculate GCF of 74,8329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96382/1

Therefore the LCM of Fractions 286/74,337/8329 is 96382

Greatest Common Factor of 74,8329 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,8329 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 8329

List of positive integer factors of 8329 that divides 8329 without a remainder.

1,8329

Greatest Common Factor

We found the factors 74,8329 . The biggest common factor number is the GCF number.
So the greatest common factor 74,8329 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 286/74, 337/8329

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 286/74, 337/8329?

Answer: LCM of Numerators as per given numbers 286/74, 337/8329 is

LCM of Numerators i.e. for 286,337 is 96382

GCF of denominators i.e. for 74,8329 is 1.

Thus, LCM of Fractions is 96382.Finally, LCM of Fractions for 286/74, 337/8329 is 96382.