Least Common Multiple of 676/336, 2319/9285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/336, 2319/9285 quickly i.e. 522548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/336, 2319/9285 is 522548.

LCM(676/336, 2319/9285) = 522548

LCM of 676/336, 2319/9285

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 676/336,2319/9285

Given numbers are 676/336,2319/9285

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 676,2319

Least Common Multiple of Numerators i.e. LCM of 676,2319 is 1567644.

GCF of Denominators means GCF of 336,9285 as per the given fractions.

GCF of 336,9285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,2319

LCM of Fractions 676/336,2319/9285 is 522548

Given numbers has no common factors except 1. So, there LCM is their product i.e 1567644

Least Common Multiple of 676,2319 with GCF Formula

Least Common Multiple of 676,2319 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 676,2319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,2319) = 1

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

GCF(676,2319) x common factors =1 x 1 = 1

LCM(676,2319) = ( 676 × 2319 ) / 1

LCM(676,2319) = 1567644 / 1

LCM(676,2319) = 1567644


Lets's calculate GCF of 336,9285

3 336, 9285
112, 3095

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1567644/3

Therefore the LCM of Fractions 676/336,2319/9285 is 522548

Greatest Common Factor of 336,9285 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,9285 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 9285

List of positive integer factors of 9285 that divides 9285 without a remainder.

1,3,5,15,619,1857,3095,9285

Greatest Common Factor

We found the factors 336,9285 . The biggest common factor number is the GCF number.
So the greatest common factor 336,9285 is 3.


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 676/336, 2319/9285

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 676/336, 2319/9285?

Answer: LCM of Numerators as per given numbers 676/336, 2319/9285 is

LCM of Numerators i.e. for 676,2319 is 1567644

GCF of denominators i.e. for 336,9285 is 3.

Thus, LCM of Fractions is 522548.Finally, LCM of Fractions for 676/336, 2319/9285 is 522548.