Least Common Multiple of 97/96, 743/15, 179/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/96, 743/15, 179/365 quickly i.e. 12900709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/96, 743/15, 179/365 is 12900709.

LCM(97/96, 743/15, 179/365) = 12900709

LCM of 97/96, 743/15, 179/365

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 97/96,743/15,179/365

Given numbers are 97/96,743/15,179/365

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 97,743,179

Least Common Multiple of Numerators i.e. LCM of 97,743,179 is 12900709.

GCF of Denominators means GCF of 96,15,365 as per the given fractions.

GCF of 96,15,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,743,179

LCM of Fractions 97/96,743/15,179/365 is 12900709

Given numbers has no common factors except 1. So, there LCM is their product i.e 12900709

Least Common Multiple of 97,743,179 with GCF Formula

Least Common Multiple of 97,743,179 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 97,743,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,743,179) = 1

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

GCF(97,743,179) x common factors =1 x 1 = 1

LCM(97,743,179) = ( 97 × 743 × 179 ) / 1

LCM(97,743,179) = 12900709 / 1

LCM(97,743,179) = 12900709


Lets's calculate GCF of 96,15,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12900709/1

Therefore the LCM of Fractions 97/96,743/15,179/365 is 12900709

Greatest Common Factor of 96,15,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,15,365 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 96,15,365 . The biggest common factor number is the GCF number.
So the greatest common factor 96,15,365 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/96, 743/15, 179/365

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 97/96, 743/15, 179/365?

Answer: LCM of Numerators as per given numbers 97/96, 743/15, 179/365 is

LCM of Numerators i.e. for 97,743,179 is 12900709

GCF of denominators i.e. for 96,15,365 is 1.

Thus, LCM of Fractions is 12900709.Finally, LCM of Fractions for 97/96, 743/15, 179/365 is 12900709.