Least Common Multiple of 4326/82, 4741/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4326/82, 4741/999 quickly i.e. 20509566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4326/82, 4741/999 is 20509566.

LCM(4326/82, 4741/999) = 20509566

LCM of 4326/82, 4741/999

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 4326/82,4741/999

Given numbers are 4326/82,4741/999

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 4326,4741

Least Common Multiple of Numerators i.e. LCM of 4326,4741 is 20509566.

GCF of Denominators means GCF of 82,999 as per the given fractions.

GCF of 82,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4326,4741

LCM of Fractions 4326/82,4741/999 is 20509566

Given numbers has no common factors except 1. So, there LCM is their product i.e 20509566

Least Common Multiple of 4326,4741 with GCF Formula

Least Common Multiple of 4326,4741 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 4326,4741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4326,4741) = 1

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

GCF(4326,4741) x common factors =1 x 1 = 1

LCM(4326,4741) = ( 4326 × 4741 ) / 1

LCM(4326,4741) = 20509566 / 1

LCM(4326,4741) = 20509566


Lets's calculate GCF of 82,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20509566/1

Therefore the LCM of Fractions 4326/82,4741/999 is 20509566

Greatest Common Factor of 82,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,999 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 82,999 . The biggest common factor number is the GCF number.
So the greatest common factor 82,999 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4326/82, 4741/999

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 4326/82, 4741/999?

Answer: LCM of Numerators as per given numbers 4326/82, 4741/999 is

LCM of Numerators i.e. for 4326,4741 is 20509566

GCF of denominators i.e. for 82,999 is 1.

Thus, LCM of Fractions is 20509566.Finally, LCM of Fractions for 4326/82, 4741/999 is 20509566.