Least Common Multiple of 5378/380, 2180/6875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5378/380, 2180/6875 quickly i.e. 1172404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5378/380, 2180/6875 is 1172404.

LCM(5378/380, 2180/6875) = 1172404

LCM of 5378/380, 2180/6875

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 5378/380,2180/6875

Given numbers are 5378/380,2180/6875

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 5378,2180

Least Common Multiple of Numerators i.e. LCM of 5378,2180 is 5862020.

GCF of Denominators means GCF of 380,6875 as per the given fractions.

GCF of 380,6875 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5378,2180

LCM of Fractions 5378/380,2180/6875 is 1172404

2 5378, 2180
2689, 1090

∴ So the LCM of the given numbers is 2 x 2689 x 1090 = 5862020

Least Common Multiple of 5378,2180 with GCF Formula

Least Common Multiple of 5378,2180 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 5378,2180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5378,2180) = 2

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

GCF(5378,2180) x common factors =2 x 1 = 2

LCM(5378,2180) = ( 5378 × 2180 ) / 2

LCM(5378,2180) = 11724040 / 2

LCM(5378,2180) = 5862020


Lets's calculate GCF of 380,6875

5 380, 6875
76, 1375

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5862020/5

Therefore the LCM of Fractions 5378/380,2180/6875 is 1172404

Greatest Common Factor of 380,6875 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,6875 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1,5,11,25,55,125,275,625,1375,6875

Greatest Common Factor

We found the factors 380,6875 . The biggest common factor number is the GCF number.
So the greatest common factor 380,6875 is 5.


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 5378/380, 2180/6875

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 5378/380, 2180/6875?

Answer: LCM of Numerators as per given numbers 5378/380, 2180/6875 is

LCM of Numerators i.e. for 5378,2180 is 5862020

GCF of denominators i.e. for 380,6875 is 5.

Thus, LCM of Fractions is 1172404.Finally, LCM of Fractions for 5378/380, 2180/6875 is 1172404.