Least Common Multiple of 2621/819, 9827/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2621/819, 9827/483 quickly i.e. 25756567/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2621/819, 9827/483 is 25756567/21.

LCM(2621/819, 9827/483) = 25756567/21

LCM of 2621/819, 9827/483

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 2621/819,9827/483

Given numbers are 2621/819,9827/483

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 2621,9827

Least Common Multiple of Numerators i.e. LCM of 2621,9827 is 25756567.

GCF of Denominators means GCF of 819,483 as per the given fractions.

GCF of 819,483 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2621,9827

LCM of Fractions 2621/819,9827/483 is 25756567/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 25756567

Least Common Multiple of 2621,9827 with GCF Formula

Least Common Multiple of 2621,9827 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 2621,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2621,9827) = 1

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

GCF(2621,9827) x common factors =1 x 1 = 1

LCM(2621,9827) = ( 2621 × 9827 ) / 1

LCM(2621,9827) = 25756567 / 1

LCM(2621,9827) = 25756567


Lets's calculate GCF of 819,483

3 819, 483
7 273, 161
39, 23

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25756567/21

Therefore the LCM of Fractions 2621/819,9827/483 is 25756567/21

Greatest Common Factor of 819,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,483 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 819,483 . The biggest common factor number is the GCF number.
So the greatest common factor 819,483 is 21.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2621/819, 9827/483

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 2621/819, 9827/483?

Answer: LCM of Numerators as per given numbers 2621/819, 9827/483 is

LCM of Numerators i.e. for 2621,9827 is 25756567

GCF of denominators i.e. for 819,483 is 21.

Thus, LCM of Fractions is 25756567/21.Finally, LCM of Fractions for 2621/819, 9827/483 is 25756567/21.