Least Common Multiple of 97/493, 89/638, 233/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/493, 89/638, 233/310 quickly i.e. 2011489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/493, 89/638, 233/310 is 2011489.

LCM(97/493, 89/638, 233/310) = 2011489

LCM of 97/493, 89/638, 233/310

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 97/493,89/638,233/310

Given numbers are 97/493,89/638,233/310

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 97,89,233

Least Common Multiple of Numerators i.e. LCM of 97,89,233 is 2011489.

GCF of Denominators means GCF of 493,638,310 as per the given fractions.

GCF of 493,638,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,89,233

LCM of Fractions 97/493,89/638,233/310 is 2011489

Given numbers has no common factors except 1. So, there LCM is their product i.e 2011489

Least Common Multiple of 97,89,233 with GCF Formula

Least Common Multiple of 97,89,233 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 97,89,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,89,233) = 1

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

GCF(97,89,233) x common factors =1 x 1 = 1

LCM(97,89,233) = ( 97 × 89 × 233 ) / 1

LCM(97,89,233) = 2011489 / 1

LCM(97,89,233) = 2011489


Lets's calculate GCF of 493,638,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2011489/1

Therefore the LCM of Fractions 97/493,89/638,233/310 is 2011489

Greatest Common Factor of 493,638,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,638,310 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 493,638,310 . The biggest common factor number is the GCF number.
So the greatest common factor 493,638,310 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 97/493, 89/638, 233/310

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 97/493, 89/638, 233/310?

Answer: LCM of Numerators as per given numbers 97/493, 89/638, 233/310 is

LCM of Numerators i.e. for 97,89,233 is 2011489

GCF of denominators i.e. for 493,638,310 is 1.

Thus, LCM of Fractions is 2011489.Finally, LCM of Fractions for 97/493, 89/638, 233/310 is 2011489.