Least Common Multiple of 41/117, 72/446, 333/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/117, 72/446, 333/405 quickly i.e. 109224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/117, 72/446, 333/405 is 109224.

LCM(41/117, 72/446, 333/405) = 109224

LCM of 41/117, 72/446, 333/405

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 41/117,72/446,333/405

Given numbers are 41/117,72/446,333/405

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 41,72,333

Least Common Multiple of Numerators i.e. LCM of 41,72,333 is 109224.

GCF of Denominators means GCF of 117,446,405 as per the given fractions.

GCF of 117,446,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,72,333

LCM of Fractions 41/117,72/446,333/405 is 109224

3 41, 72, 333
3 41, 24, 111
41, 8, 37

∴ So the LCM of the given numbers is 3 x 3 x 41 x 8 x 37 = 109224

Least Common Multiple of 41,72,333 with GCF Formula

Least Common Multiple of 41,72,333 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 41,72,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,72,333) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(41,72,333) x common factors =1 x 9 = 9

LCM(41,72,333) = ( 41 × 72 × 333 ) / 9

LCM(41,72,333) = 983016 / 9

LCM(41,72,333) = 109224


Lets's calculate GCF of 117,446,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109224/1

Therefore the LCM of Fractions 41/117,72/446,333/405 is 109224

Greatest Common Factor of 117,446,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,446,405 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 117,446,405 . The biggest common factor number is the GCF number.
So the greatest common factor 117,446,405 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 41/117, 72/446, 333/405

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 41/117, 72/446, 333/405?

Answer: LCM of Numerators as per given numbers 41/117, 72/446, 333/405 is

LCM of Numerators i.e. for 41,72,333 is 109224

GCF of denominators i.e. for 117,446,405 is 1.

Thus, LCM of Fractions is 109224.Finally, LCM of Fractions for 41/117, 72/446, 333/405 is 109224.