Least Common Multiple of 378/183, 2316/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/183, 2316/519 quickly i.e. 48636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/183, 2316/519 is 48636.

LCM(378/183, 2316/519) = 48636

LCM of 378/183, 2316/519

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 378/183,2316/519

Given numbers are 378/183,2316/519

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 378,2316

Least Common Multiple of Numerators i.e. LCM of 378,2316 is 145908.

GCF of Denominators means GCF of 183,519 as per the given fractions.

GCF of 183,519 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,2316

LCM of Fractions 378/183,2316/519 is 48636

2 378, 2316
3 189, 1158
63, 386

∴ So the LCM of the given numbers is 2 x 3 x 63 x 386 = 145908

Least Common Multiple of 378,2316 with GCF Formula

Least Common Multiple of 378,2316 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 378,2316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,2316) = 6

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

GCF(378,2316) x common factors =6 x 1 = 6

LCM(378,2316) = ( 378 × 2316 ) / 6

LCM(378,2316) = 875448 / 6

LCM(378,2316) = 145908


Lets's calculate GCF of 183,519

3 183, 519
61, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145908/3

Therefore the LCM of Fractions 378/183,2316/519 is 48636

Greatest Common Factor of 183,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,519 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 183,519 . The biggest common factor number is the GCF number.
So the greatest common factor 183,519 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 378/183, 2316/519

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 378/183, 2316/519?

Answer: LCM of Numerators as per given numbers 378/183, 2316/519 is

LCM of Numerators i.e. for 378,2316 is 145908

GCF of denominators i.e. for 183,519 is 3.

Thus, LCM of Fractions is 48636.Finally, LCM of Fractions for 378/183, 2316/519 is 48636.