Least Common Multiple of 4860/381, 4343/2096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4860/381, 4343/2096 quickly i.e. 21106980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4860/381, 4343/2096 is 21106980.

LCM(4860/381, 4343/2096) = 21106980

LCM of 4860/381, 4343/2096

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 4860/381,4343/2096

Given numbers are 4860/381,4343/2096

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 4860,4343

Least Common Multiple of Numerators i.e. LCM of 4860,4343 is 21106980.

GCF of Denominators means GCF of 381,2096 as per the given fractions.

GCF of 381,2096 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4860,4343

LCM of Fractions 4860/381,4343/2096 is 21106980

Given numbers has no common factors except 1. So, there LCM is their product i.e 21106980

Least Common Multiple of 4860,4343 with GCF Formula

Least Common Multiple of 4860,4343 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 4860,4343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4860,4343) = 1

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

GCF(4860,4343) x common factors =1 x 1 = 1

LCM(4860,4343) = ( 4860 × 4343 ) / 1

LCM(4860,4343) = 21106980 / 1

LCM(4860,4343) = 21106980


Lets's calculate GCF of 381,2096

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21106980/1

Therefore the LCM of Fractions 4860/381,4343/2096 is 21106980

Greatest Common Factor of 381,2096 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,2096 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1,2,4,8,16,131,262,524,1048,2096

Greatest Common Factor

We found the factors 381,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 381,2096 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4860/381, 4343/2096

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 4860/381, 4343/2096?

Answer: LCM of Numerators as per given numbers 4860/381, 4343/2096 is

LCM of Numerators i.e. for 4860,4343 is 21106980

GCF of denominators i.e. for 381,2096 is 1.

Thus, LCM of Fractions is 21106980.Finally, LCM of Fractions for 4860/381, 4343/2096 is 21106980.