Least Common Multiple of 23/569, 29/919, 396/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/569, 29/919, 396/798 quickly i.e. 264132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/569, 29/919, 396/798 is 264132.

LCM(23/569, 29/919, 396/798) = 264132

LCM of 23/569, 29/919, 396/798

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 23/569,29/919,396/798

Given numbers are 23/569,29/919,396/798

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 23,29,396

Least Common Multiple of Numerators i.e. LCM of 23,29,396 is 264132.

GCF of Denominators means GCF of 569,919,798 as per the given fractions.

GCF of 569,919,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,29,396

LCM of Fractions 23/569,29/919,396/798 is 264132

Given numbers has no common factors except 1. So, there LCM is their product i.e 264132

Least Common Multiple of 23,29,396 with GCF Formula

Least Common Multiple of 23,29,396 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 23,29,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,29,396) = 1

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

GCF(23,29,396) x common factors =1 x 1 = 1

LCM(23,29,396) = ( 23 × 29 × 396 ) / 1

LCM(23,29,396) = 264132 / 1

LCM(23,29,396) = 264132


Lets's calculate GCF of 569,919,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264132/1

Therefore the LCM of Fractions 23/569,29/919,396/798 is 264132

Greatest Common Factor of 569,919,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,919,798 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

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 569,919,798 . The biggest common factor number is the GCF number.
So the greatest common factor 569,919,798 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 23/569, 29/919, 396/798

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 23/569, 29/919, 396/798?

Answer: LCM of Numerators as per given numbers 23/569, 29/919, 396/798 is

LCM of Numerators i.e. for 23,29,396 is 264132

GCF of denominators i.e. for 569,919,798 is 1.

Thus, LCM of Fractions is 264132.Finally, LCM of Fractions for 23/569, 29/919, 396/798 is 264132.