Least Common Multiple of 8120/378, 3073/4316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8120/378, 3073/4316 quickly i.e. 1782340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8120/378, 3073/4316 is 1782340.

LCM(8120/378, 3073/4316) = 1782340

LCM of 8120/378, 3073/4316

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 8120/378,3073/4316

Given numbers are 8120/378,3073/4316

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 8120,3073

Least Common Multiple of Numerators i.e. LCM of 8120,3073 is 3564680.

GCF of Denominators means GCF of 378,4316 as per the given fractions.

GCF of 378,4316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8120,3073

LCM of Fractions 8120/378,3073/4316 is 1782340

7 8120, 3073
1160, 439

∴ So the LCM of the given numbers is 7 x 1160 x 439 = 3564680

Least Common Multiple of 8120,3073 with GCF Formula

Least Common Multiple of 8120,3073 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 8120,3073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8120,3073) = 7

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

GCF(8120,3073) x common factors =7 x 1 = 7

LCM(8120,3073) = ( 8120 × 3073 ) / 7

LCM(8120,3073) = 24952760 / 7

LCM(8120,3073) = 3564680


Lets's calculate GCF of 378,4316

2 378, 4316
189, 2158

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3564680/2

Therefore the LCM of Fractions 8120/378,3073/4316 is 1782340

Greatest Common Factor of 378,4316 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,4316 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 4316

List of positive integer factors of 4316 that divides 4316 without a remainder.

1,2,4,13,26,52,83,166,332,1079,2158,4316

Greatest Common Factor

We found the factors 378,4316 . The biggest common factor number is the GCF number.
So the greatest common factor 378,4316 is 2.


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 8120/378, 3073/4316

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 8120/378, 3073/4316?

Answer: LCM of Numerators as per given numbers 8120/378, 3073/4316 is

LCM of Numerators i.e. for 8120,3073 is 3564680

GCF of denominators i.e. for 378,4316 is 2.

Thus, LCM of Fractions is 1782340.Finally, LCM of Fractions for 8120/378, 3073/4316 is 1782340.