Least Common Multiple of 152/538, 291/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/538, 291/805 quickly i.e. 44232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/538, 291/805 is 44232.

LCM(152/538, 291/805) = 44232

LCM of 152/538, 291/805

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 152/538,291/805

Given numbers are 152/538,291/805

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 152,291

Least Common Multiple of Numerators i.e. LCM of 152,291 is 44232.

GCF of Denominators means GCF of 538,805 as per the given fractions.

GCF of 538,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,291

LCM of Fractions 152/538,291/805 is 44232

Given numbers has no common factors except 1. So, there LCM is their product i.e 44232

Least Common Multiple of 152,291 with GCF Formula

Least Common Multiple of 152,291 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 152,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,291) = 1

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

GCF(152,291) x common factors =1 x 1 = 1

LCM(152,291) = ( 152 × 291 ) / 1

LCM(152,291) = 44232 / 1

LCM(152,291) = 44232


Lets's calculate GCF of 538,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44232/1

Therefore the LCM of Fractions 152/538,291/805 is 44232

Greatest Common Factor of 538,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,805 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 538,805 . The biggest common factor number is the GCF number.
So the greatest common factor 538,805 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 152/538, 291/805

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 152/538, 291/805?

Answer: LCM of Numerators as per given numbers 152/538, 291/805 is

LCM of Numerators i.e. for 152,291 is 44232

GCF of denominators i.e. for 538,805 is 1.

Thus, LCM of Fractions is 44232.Finally, LCM of Fractions for 152/538, 291/805 is 44232.