Least Common Multiple of 2120/367, 2163/5647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2120/367, 2163/5647 quickly i.e. 4585560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2120/367, 2163/5647 is 4585560.

LCM(2120/367, 2163/5647) = 4585560

LCM of 2120/367, 2163/5647

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 2120/367,2163/5647

Given numbers are 2120/367,2163/5647

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 2120,2163

Least Common Multiple of Numerators i.e. LCM of 2120,2163 is 4585560.

GCF of Denominators means GCF of 367,5647 as per the given fractions.

GCF of 367,5647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2120,2163

LCM of Fractions 2120/367,2163/5647 is 4585560

Given numbers has no common factors except 1. So, there LCM is their product i.e 4585560

Least Common Multiple of 2120,2163 with GCF Formula

Least Common Multiple of 2120,2163 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 2120,2163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2120,2163) = 1

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

GCF(2120,2163) x common factors =1 x 1 = 1

LCM(2120,2163) = ( 2120 × 2163 ) / 1

LCM(2120,2163) = 4585560 / 1

LCM(2120,2163) = 4585560


Lets's calculate GCF of 367,5647

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4585560/1

Therefore the LCM of Fractions 2120/367,2163/5647 is 4585560

Greatest Common Factor of 367,5647 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,5647 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 5647

List of positive integer factors of 5647 that divides 5647 without a remainder.

1,5647

Greatest Common Factor

We found the factors 367,5647 . The biggest common factor number is the GCF number.
So the greatest common factor 367,5647 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2120/367, 2163/5647

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 2120/367, 2163/5647?

Answer: LCM of Numerators as per given numbers 2120/367, 2163/5647 is

LCM of Numerators i.e. for 2120,2163 is 4585560

GCF of denominators i.e. for 367,5647 is 1.

Thus, LCM of Fractions is 4585560.Finally, LCM of Fractions for 2120/367, 2163/5647 is 4585560.