Least Common Multiple of 97/423, 819/958, 359/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/423, 819/958, 359/241 quickly i.e. 28520037 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/423, 819/958, 359/241 is 28520037.

LCM(97/423, 819/958, 359/241) = 28520037

LCM of 97/423, 819/958, 359/241

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 97/423,819/958,359/241

Given numbers are 97/423,819/958,359/241

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 97,819,359

Least Common Multiple of Numerators i.e. LCM of 97,819,359 is 28520037.

GCF of Denominators means GCF of 423,958,241 as per the given fractions.

GCF of 423,958,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,819,359

LCM of Fractions 97/423,819/958,359/241 is 28520037

Given numbers has no common factors except 1. So, there LCM is their product i.e 28520037

Least Common Multiple of 97,819,359 with GCF Formula

Least Common Multiple of 97,819,359 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 97,819,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,819,359) = 1

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

GCF(97,819,359) x common factors =1 x 1 = 1

LCM(97,819,359) = ( 97 × 819 × 359 ) / 1

LCM(97,819,359) = 28520037 / 1

LCM(97,819,359) = 28520037


Lets's calculate GCF of 423,958,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28520037/1

Therefore the LCM of Fractions 97/423,819/958,359/241 is 28520037

Greatest Common Factor of 423,958,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,958,241 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 423,958,241 . The biggest common factor number is the GCF number.
So the greatest common factor 423,958,241 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 97/423, 819/958, 359/241

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 97/423, 819/958, 359/241?

Answer: LCM of Numerators as per given numbers 97/423, 819/958, 359/241 is

LCM of Numerators i.e. for 97,819,359 is 28520037

GCF of denominators i.e. for 423,958,241 is 1.

Thus, LCM of Fractions is 28520037.Finally, LCM of Fractions for 97/423, 819/958, 359/241 is 28520037.