Least Common Multiple of 8396/378, 5610/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8396/378, 5610/315 quickly i.e. 23550780/63 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8396/378, 5610/315 is 23550780/63.

LCM(8396/378, 5610/315) = 23550780/63

LCM of 8396/378, 5610/315

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 8396/378,5610/315

Given numbers are 8396/378,5610/315

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 8396,5610

Least Common Multiple of Numerators i.e. LCM of 8396,5610 is 23550780.

GCF of Denominators means GCF of 378,315 as per the given fractions.

GCF of 378,315 is 63 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8396,5610

LCM of Fractions 8396/378,5610/315 is 23550780/63

2 8396, 5610
4198, 2805

∴ So the LCM of the given numbers is 2 x 4198 x 2805 = 23550780

Least Common Multiple of 8396,5610 with GCF Formula

Least Common Multiple of 8396,5610 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 8396,5610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8396,5610) = 2

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

GCF(8396,5610) x common factors =2 x 1 = 2

LCM(8396,5610) = ( 8396 × 5610 ) / 2

LCM(8396,5610) = 47101560 / 2

LCM(8396,5610) = 23550780


Lets's calculate GCF of 378,315

3 378, 315
3 126, 105
7 42, 35
6, 5

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23550780/63

Therefore the LCM of Fractions 8396/378,5610/315 is 23550780/63

Greatest Common Factor of 378,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,315 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 378,315 . The biggest common factor number is the GCF number.
So the greatest common factor 378,315 is 63.


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 8396/378, 5610/315

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 8396/378, 5610/315?

Answer: LCM of Numerators as per given numbers 8396/378, 5610/315 is

LCM of Numerators i.e. for 8396,5610 is 23550780

GCF of denominators i.e. for 378,315 is 63.

Thus, LCM of Fractions is 23550780/63.Finally, LCM of Fractions for 8396/378, 5610/315 is 23550780/63.