Least Common Multiple of 4661/71, 2703/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4661/71, 2703/389 quickly i.e. 12598683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4661/71, 2703/389 is 12598683.

LCM(4661/71, 2703/389) = 12598683

LCM of 4661/71, 2703/389

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 4661/71,2703/389

Given numbers are 4661/71,2703/389

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 4661,2703

Least Common Multiple of Numerators i.e. LCM of 4661,2703 is 12598683.

GCF of Denominators means GCF of 71,389 as per the given fractions.

GCF of 71,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4661,2703

LCM of Fractions 4661/71,2703/389 is 12598683

Given numbers has no common factors except 1. So, there LCM is their product i.e 12598683

Least Common Multiple of 4661,2703 with GCF Formula

Least Common Multiple of 4661,2703 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 4661,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4661,2703) = 1

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

GCF(4661,2703) x common factors =1 x 1 = 1

LCM(4661,2703) = ( 4661 × 2703 ) / 1

LCM(4661,2703) = 12598683 / 1

LCM(4661,2703) = 12598683


Lets's calculate GCF of 71,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12598683/1

Therefore the LCM of Fractions 4661/71,2703/389 is 12598683

Greatest Common Factor of 71,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,389 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 71,389 . The biggest common factor number is the GCF number.
So the greatest common factor 71,389 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 4661/71, 2703/389

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 4661/71, 2703/389?

Answer: LCM of Numerators as per given numbers 4661/71, 2703/389 is

LCM of Numerators i.e. for 4661,2703 is 12598683

GCF of denominators i.e. for 71,389 is 1.

Thus, LCM of Fractions is 12598683.Finally, LCM of Fractions for 4661/71, 2703/389 is 12598683.