Least Common Multiple of 41/168, 409/150, 345/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/168, 409/150, 345/481 quickly i.e. 5785305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/168, 409/150, 345/481 is 5785305.

LCM(41/168, 409/150, 345/481) = 5785305

LCM of 41/168, 409/150, 345/481

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 41/168,409/150,345/481

Given numbers are 41/168,409/150,345/481

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 41,409,345

Least Common Multiple of Numerators i.e. LCM of 41,409,345 is 5785305.

GCF of Denominators means GCF of 168,150,481 as per the given fractions.

GCF of 168,150,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,409,345

LCM of Fractions 41/168,409/150,345/481 is 5785305

Given numbers has no common factors except 1. So, there LCM is their product i.e 5785305

Least Common Multiple of 41,409,345 with GCF Formula

Least Common Multiple of 41,409,345 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 41,409,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,409,345) = 1

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

GCF(41,409,345) x common factors =1 x 1 = 1

LCM(41,409,345) = ( 41 × 409 × 345 ) / 1

LCM(41,409,345) = 5785305 / 1

LCM(41,409,345) = 5785305


Lets's calculate GCF of 168,150,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5785305/1

Therefore the LCM of Fractions 41/168,409/150,345/481 is 5785305

Greatest Common Factor of 168,150,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,150,481 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 168,150,481 . The biggest common factor number is the GCF number.
So the greatest common factor 168,150,481 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 41/168, 409/150, 345/481

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 41/168, 409/150, 345/481?

Answer: LCM of Numerators as per given numbers 41/168, 409/150, 345/481 is

LCM of Numerators i.e. for 41,409,345 is 5785305

GCF of denominators i.e. for 168,150,481 is 1.

Thus, LCM of Fractions is 5785305.Finally, LCM of Fractions for 41/168, 409/150, 345/481 is 5785305.