Least Common Multiple of 1092/12, 8905/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1092/12, 8905/291 quickly i.e. 249340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1092/12, 8905/291 is 249340.

LCM(1092/12, 8905/291) = 249340

LCM of 1092/12, 8905/291

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 1092/12,8905/291

Given numbers are 1092/12,8905/291

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 1092,8905

Least Common Multiple of Numerators i.e. LCM of 1092,8905 is 748020.

GCF of Denominators means GCF of 12,291 as per the given fractions.

GCF of 12,291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1092,8905

LCM of Fractions 1092/12,8905/291 is 249340

13 1092, 8905
84, 685

∴ So the LCM of the given numbers is 13 x 84 x 685 = 748020

Least Common Multiple of 1092,8905 with GCF Formula

Least Common Multiple of 1092,8905 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 1092,8905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1092,8905) = 13

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

GCF(1092,8905) x common factors =13 x 1 = 13

LCM(1092,8905) = ( 1092 × 8905 ) / 13

LCM(1092,8905) = 9724260 / 13

LCM(1092,8905) = 748020


Lets's calculate GCF of 12,291

3 12, 291
4, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748020/3

Therefore the LCM of Fractions 1092/12,8905/291 is 249340

Greatest Common Factor of 12,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,291 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 12,291 . The biggest common factor number is the GCF number.
So the greatest common factor 12,291 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1092/12, 8905/291

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 1092/12, 8905/291?

Answer: LCM of Numerators as per given numbers 1092/12, 8905/291 is

LCM of Numerators i.e. for 1092,8905 is 748020

GCF of denominators i.e. for 12,291 is 3.

Thus, LCM of Fractions is 249340.Finally, LCM of Fractions for 1092/12, 8905/291 is 249340.