Least Common Multiple of 8841/486, 9264/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8841/486, 9264/747 quickly i.e. 27301008/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8841/486, 9264/747 is 27301008/9.

LCM(8841/486, 9264/747) = 27301008/9

LCM of 8841/486, 9264/747

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 8841/486,9264/747

Given numbers are 8841/486,9264/747

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 8841,9264

Least Common Multiple of Numerators i.e. LCM of 8841,9264 is 27301008.

GCF of Denominators means GCF of 486,747 as per the given fractions.

GCF of 486,747 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8841,9264

LCM of Fractions 8841/486,9264/747 is 27301008/9

3 8841, 9264
2947, 3088

∴ So the LCM of the given numbers is 3 x 2947 x 3088 = 27301008

Least Common Multiple of 8841,9264 with GCF Formula

Least Common Multiple of 8841,9264 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 8841,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8841,9264) = 3

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

GCF(8841,9264) x common factors =3 x 1 = 3

LCM(8841,9264) = ( 8841 × 9264 ) / 3

LCM(8841,9264) = 81903024 / 3

LCM(8841,9264) = 27301008


Lets's calculate GCF of 486,747

3 486, 747
3 162, 249
54, 83

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27301008/9

Therefore the LCM of Fractions 8841/486,9264/747 is 27301008/9

Greatest Common Factor of 486,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,747 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 486,747 . The biggest common factor number is the GCF number.
So the greatest common factor 486,747 is 9.


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 8841/486, 9264/747

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 8841/486, 9264/747?

Answer: LCM of Numerators as per given numbers 8841/486, 9264/747 is

LCM of Numerators i.e. for 8841,9264 is 27301008

GCF of denominators i.e. for 486,747 is 9.

Thus, LCM of Fractions is 27301008/9.Finally, LCM of Fractions for 8841/486, 9264/747 is 27301008/9.