Least Common Multiple of 9867/81, 5046/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9867/81, 5046/501 quickly i.e. 5532098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9867/81, 5046/501 is 5532098.

LCM(9867/81, 5046/501) = 5532098

LCM of 9867/81, 5046/501

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 9867/81,5046/501

Given numbers are 9867/81,5046/501

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 9867,5046

Least Common Multiple of Numerators i.e. LCM of 9867,5046 is 16596294.

GCF of Denominators means GCF of 81,501 as per the given fractions.

GCF of 81,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9867,5046

LCM of Fractions 9867/81,5046/501 is 5532098

3 9867, 5046
3289, 1682

∴ So the LCM of the given numbers is 3 x 3289 x 1682 = 16596294

Least Common Multiple of 9867,5046 with GCF Formula

Least Common Multiple of 9867,5046 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 9867,5046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9867,5046) = 3

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

GCF(9867,5046) x common factors =3 x 1 = 3

LCM(9867,5046) = ( 9867 × 5046 ) / 3

LCM(9867,5046) = 49788882 / 3

LCM(9867,5046) = 16596294


Lets's calculate GCF of 81,501

3 81, 501
27, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16596294/3

Therefore the LCM of Fractions 9867/81,5046/501 is 5532098

Greatest Common Factor of 81,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,501 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 81,501 . The biggest common factor number is the GCF number.
So the greatest common factor 81,501 is 3.


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 9867/81, 5046/501

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 9867/81, 5046/501?

Answer: LCM of Numerators as per given numbers 9867/81, 5046/501 is

LCM of Numerators i.e. for 9867,5046 is 16596294

GCF of denominators i.e. for 81,501 is 3.

Thus, LCM of Fractions is 5532098.Finally, LCM of Fractions for 9867/81, 5046/501 is 5532098.