Least Common Multiple of 309/34, 792/13, 597/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/34, 792/13, 597/432 quickly i.e. 16233624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/34, 792/13, 597/432 is 16233624.

LCM(309/34, 792/13, 597/432) = 16233624

LCM of 309/34, 792/13, 597/432

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 309/34,792/13,597/432

Given numbers are 309/34,792/13,597/432

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 309,792,597

Least Common Multiple of Numerators i.e. LCM of 309,792,597 is 16233624.

GCF of Denominators means GCF of 34,13,432 as per the given fractions.

GCF of 34,13,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,792,597

LCM of Fractions 309/34,792/13,597/432 is 16233624

3 309, 792, 597
103, 264, 199

∴ So the LCM of the given numbers is 3 x 103 x 264 x 199 = 16233624

Least Common Multiple of 309,792,597 with GCF Formula

Least Common Multiple of 309,792,597 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 309,792,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,792,597) = 3

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

GCF(309,792,597) x common factors =3 x 3 = 9

LCM(309,792,597) = ( 309 × 792 × 597 ) / 9

LCM(309,792,597) = 146102616 / 9

LCM(309,792,597) = 16233624


Lets's calculate GCF of 34,13,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16233624/1

Therefore the LCM of Fractions 309/34,792/13,597/432 is 16233624

Greatest Common Factor of 34,13,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,13,432 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 34,13,432 . The biggest common factor number is the GCF number.
So the greatest common factor 34,13,432 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 309/34, 792/13, 597/432

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 309/34, 792/13, 597/432?

Answer: LCM of Numerators as per given numbers 309/34, 792/13, 597/432 is

LCM of Numerators i.e. for 309,792,597 is 16233624

GCF of denominators i.e. for 34,13,432 is 1.

Thus, LCM of Fractions is 16233624.Finally, LCM of Fractions for 309/34, 792/13, 597/432 is 16233624.