Least Common Multiple of 181/54, 371/7590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 181/54, 371/7590 quickly i.e. 67151/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 181/54, 371/7590 is 67151/6.

LCM(181/54, 371/7590) = 67151/6

LCM of 181/54, 371/7590

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 181/54,371/7590

Given numbers are 181/54,371/7590

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 181,371

Least Common Multiple of Numerators i.e. LCM of 181,371 is 67151.

GCF of Denominators means GCF of 54,7590 as per the given fractions.

GCF of 54,7590 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 181,371

LCM of Fractions 181/54,371/7590 is 67151/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 67151

Least Common Multiple of 181,371 with GCF Formula

Least Common Multiple of 181,371 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 181,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,371) = 1

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

GCF(181,371) x common factors =1 x 1 = 1

LCM(181,371) = ( 181 × 371 ) / 1

LCM(181,371) = 67151 / 1

LCM(181,371) = 67151


Lets's calculate GCF of 54,7590

2 54, 7590
3 27, 3795
9, 1265

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67151/6

Therefore the LCM of Fractions 181/54,371/7590 is 67151/6

Greatest Common Factor of 54,7590 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7590 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590

Greatest Common Factor

We found the factors 54,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7590 is 6.


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 181/54, 371/7590

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 181/54, 371/7590?

Answer: LCM of Numerators as per given numbers 181/54, 371/7590 is

LCM of Numerators i.e. for 181,371 is 67151

GCF of denominators i.e. for 54,7590 is 6.

Thus, LCM of Fractions is 67151/6.Finally, LCM of Fractions for 181/54, 371/7590 is 67151/6.