Least Common Multiple of 181/715, 197/458, 575/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 181/715, 197/458, 575/373 quickly i.e. 20502775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 181/715, 197/458, 575/373 is 20502775.

LCM(181/715, 197/458, 575/373) = 20502775

LCM of 181/715, 197/458, 575/373

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 181/715,197/458,575/373

Given numbers are 181/715,197/458,575/373

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 181,197,575

Least Common Multiple of Numerators i.e. LCM of 181,197,575 is 20502775.

GCF of Denominators means GCF of 715,458,373 as per the given fractions.

GCF of 715,458,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 181,197,575

LCM of Fractions 181/715,197/458,575/373 is 20502775

Given numbers has no common factors except 1. So, there LCM is their product i.e 20502775

Least Common Multiple of 181,197,575 with GCF Formula

Least Common Multiple of 181,197,575 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 181,197,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,197,575) = 1

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

GCF(181,197,575) x common factors =1 x 1 = 1

LCM(181,197,575) = ( 181 × 197 × 575 ) / 1

LCM(181,197,575) = 20502775 / 1

LCM(181,197,575) = 20502775


Lets's calculate GCF of 715,458,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20502775/1

Therefore the LCM of Fractions 181/715,197/458,575/373 is 20502775

Greatest Common Factor of 715,458,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,458,373 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 715,458,373 . The biggest common factor number is the GCF number.
So the greatest common factor 715,458,373 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 181/715, 197/458, 575/373

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 181/715, 197/458, 575/373?

Answer: LCM of Numerators as per given numbers 181/715, 197/458, 575/373 is

LCM of Numerators i.e. for 181,197,575 is 20502775

GCF of denominators i.e. for 715,458,373 is 1.

Thus, LCM of Fractions is 20502775.Finally, LCM of Fractions for 181/715, 197/458, 575/373 is 20502775.