Least Common Multiple of 23/324, 480/697, 191/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/324, 480/697, 191/798 quickly i.e. 2108640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/324, 480/697, 191/798 is 2108640.

LCM(23/324, 480/697, 191/798) = 2108640

LCM of 23/324, 480/697, 191/798

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 23/324,480/697,191/798

Given numbers are 23/324,480/697,191/798

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 23,480,191

Least Common Multiple of Numerators i.e. LCM of 23,480,191 is 2108640.

GCF of Denominators means GCF of 324,697,798 as per the given fractions.

GCF of 324,697,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,480,191

LCM of Fractions 23/324,480/697,191/798 is 2108640

Given numbers has no common factors except 1. So, there LCM is their product i.e 2108640

Least Common Multiple of 23,480,191 with GCF Formula

Least Common Multiple of 23,480,191 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 23,480,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,480,191) = 1

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

GCF(23,480,191) x common factors =1 x 1 = 1

LCM(23,480,191) = ( 23 × 480 × 191 ) / 1

LCM(23,480,191) = 2108640 / 1

LCM(23,480,191) = 2108640


Lets's calculate GCF of 324,697,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2108640/1

Therefore the LCM of Fractions 23/324,480/697,191/798 is 2108640

Greatest Common Factor of 324,697,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,697,798 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 324,697,798 . The biggest common factor number is the GCF number.
So the greatest common factor 324,697,798 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/324, 480/697, 191/798

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 23/324, 480/697, 191/798?

Answer: LCM of Numerators as per given numbers 23/324, 480/697, 191/798 is

LCM of Numerators i.e. for 23,480,191 is 2108640

GCF of denominators i.e. for 324,697,798 is 1.

Thus, LCM of Fractions is 2108640.Finally, LCM of Fractions for 23/324, 480/697, 191/798 is 2108640.