Least Common Multiple of 441/915, 1172/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/915, 1172/843 quickly i.e. 172284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/915, 1172/843 is 172284.

LCM(441/915, 1172/843) = 172284

LCM of 441/915, 1172/843

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 441/915,1172/843

Given numbers are 441/915,1172/843

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 441,1172

Least Common Multiple of Numerators i.e. LCM of 441,1172 is 516852.

GCF of Denominators means GCF of 915,843 as per the given fractions.

GCF of 915,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,1172

LCM of Fractions 441/915,1172/843 is 172284

Given numbers has no common factors except 1. So, there LCM is their product i.e 516852

Least Common Multiple of 441,1172 with GCF Formula

Least Common Multiple of 441,1172 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 441,1172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,1172) = 1

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

GCF(441,1172) x common factors =1 x 1 = 1

LCM(441,1172) = ( 441 × 1172 ) / 1

LCM(441,1172) = 516852 / 1

LCM(441,1172) = 516852


Lets's calculate GCF of 915,843

3 915, 843
305, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 516852/3

Therefore the LCM of Fractions 441/915,1172/843 is 172284

Greatest Common Factor of 915,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,843 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 915,843 . The biggest common factor number is the GCF number.
So the greatest common factor 915,843 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 441/915, 1172/843

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 441/915, 1172/843?

Answer: LCM of Numerators as per given numbers 441/915, 1172/843 is

LCM of Numerators i.e. for 441,1172 is 516852

GCF of denominators i.e. for 915,843 is 3.

Thus, LCM of Fractions is 172284.Finally, LCM of Fractions for 441/915, 1172/843 is 172284.