Least Common Multiple of 365/50, 493/75, 331/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/50, 493/75, 331/905 quickly i.e. 11912359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/50, 493/75, 331/905 is 11912359.

LCM(365/50, 493/75, 331/905) = 11912359

LCM of 365/50, 493/75, 331/905

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 365/50,493/75,331/905

Given numbers are 365/50,493/75,331/905

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 365,493,331

Least Common Multiple of Numerators i.e. LCM of 365,493,331 is 59561795.

GCF of Denominators means GCF of 50,75,905 as per the given fractions.

GCF of 50,75,905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,493,331

LCM of Fractions 365/50,493/75,331/905 is 11912359

Given numbers has no common factors except 1. So, there LCM is their product i.e 59561795

Least Common Multiple of 365,493,331 with GCF Formula

Least Common Multiple of 365,493,331 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 365,493,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,493,331) = 1

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

GCF(365,493,331) x common factors =1 x 1 = 1

LCM(365,493,331) = ( 365 × 493 × 331 ) / 1

LCM(365,493,331) = 59561795 / 1

LCM(365,493,331) = 59561795


Lets's calculate GCF of 50,75,905

5 50, 75, 905
10, 15, 181

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59561795/5

Therefore the LCM of Fractions 365/50,493/75,331/905 is 11912359

Greatest Common Factor of 50,75,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,75,905 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 50,75,905 . The biggest common factor number is the GCF number.
So the greatest common factor 50,75,905 is 5.


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 365/50, 493/75, 331/905

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 365/50, 493/75, 331/905?

Answer: LCM of Numerators as per given numbers 365/50, 493/75, 331/905 is

LCM of Numerators i.e. for 365,493,331 is 59561795

GCF of denominators i.e. for 50,75,905 is 5.

Thus, LCM of Fractions is 11912359.Finally, LCM of Fractions for 365/50, 493/75, 331/905 is 11912359.