Least Common Multiple of 97/46, 579/81, 294/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/46, 579/81, 294/997 quickly i.e. 5503974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/46, 579/81, 294/997 is 5503974.

LCM(97/46, 579/81, 294/997) = 5503974

LCM of 97/46, 579/81, 294/997

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 97/46,579/81,294/997

Given numbers are 97/46,579/81,294/997

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 97,579,294

Least Common Multiple of Numerators i.e. LCM of 97,579,294 is 5503974.

GCF of Denominators means GCF of 46,81,997 as per the given fractions.

GCF of 46,81,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,579,294

LCM of Fractions 97/46,579/81,294/997 is 5503974

3 97, 579, 294
97, 193, 98

∴ So the LCM of the given numbers is 3 x 97 x 193 x 98 = 5503974

Least Common Multiple of 97,579,294 with GCF Formula

Least Common Multiple of 97,579,294 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 97,579,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,579,294) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(97,579,294) x common factors =1 x 3 = 3

LCM(97,579,294) = ( 97 × 579 × 294 ) / 3

LCM(97,579,294) = 16511922 / 3

LCM(97,579,294) = 5503974


Lets's calculate GCF of 46,81,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5503974/1

Therefore the LCM of Fractions 97/46,579/81,294/997 is 5503974

Greatest Common Factor of 46,81,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,81,997 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 46,81,997 . The biggest common factor number is the GCF number.
So the greatest common factor 46,81,997 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 97/46, 579/81, 294/997

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 97/46, 579/81, 294/997?

Answer: LCM of Numerators as per given numbers 97/46, 579/81, 294/997 is

LCM of Numerators i.e. for 97,579,294 is 5503974

GCF of denominators i.e. for 46,81,997 is 1.

Thus, LCM of Fractions is 5503974.Finally, LCM of Fractions for 97/46, 579/81, 294/997 is 5503974.