Least Common Multiple of 2821/989, 6423/9171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2821/989, 6423/9171 quickly i.e. 18119283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2821/989, 6423/9171 is 18119283.

LCM(2821/989, 6423/9171) = 18119283

LCM of 2821/989, 6423/9171

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 2821/989,6423/9171

Given numbers are 2821/989,6423/9171

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 2821,6423

Least Common Multiple of Numerators i.e. LCM of 2821,6423 is 18119283.

GCF of Denominators means GCF of 989,9171 as per the given fractions.

GCF of 989,9171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2821,6423

LCM of Fractions 2821/989,6423/9171 is 18119283

Given numbers has no common factors except 1. So, there LCM is their product i.e 18119283

Least Common Multiple of 2821,6423 with GCF Formula

Least Common Multiple of 2821,6423 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 2821,6423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2821,6423) = 1

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

GCF(2821,6423) x common factors =1 x 1 = 1

LCM(2821,6423) = ( 2821 × 6423 ) / 1

LCM(2821,6423) = 18119283 / 1

LCM(2821,6423) = 18119283


Lets's calculate GCF of 989,9171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18119283/1

Therefore the LCM of Fractions 2821/989,6423/9171 is 18119283

Greatest Common Factor of 989,9171 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,9171 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 9171

List of positive integer factors of 9171 that divides 9171 without a remainder.

1,3,9,1019,3057,9171

Greatest Common Factor

We found the factors 989,9171 . The biggest common factor number is the GCF number.
So the greatest common factor 989,9171 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2821/989, 6423/9171

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 2821/989, 6423/9171?

Answer: LCM of Numerators as per given numbers 2821/989, 6423/9171 is

LCM of Numerators i.e. for 2821,6423 is 18119283

GCF of denominators i.e. for 989,9171 is 1.

Thus, LCM of Fractions is 18119283.Finally, LCM of Fractions for 2821/989, 6423/9171 is 18119283.