Least Common Multiple of 729/72, 978/5213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/72, 978/5213 quickly i.e. 237654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/72, 978/5213 is 237654.

LCM(729/72, 978/5213) = 237654

LCM of 729/72, 978/5213

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 729/72,978/5213

Given numbers are 729/72,978/5213

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 729,978

Least Common Multiple of Numerators i.e. LCM of 729,978 is 237654.

GCF of Denominators means GCF of 72,5213 as per the given fractions.

GCF of 72,5213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,978

LCM of Fractions 729/72,978/5213 is 237654

3 729, 978
243, 326

∴ So the LCM of the given numbers is 3 x 243 x 326 = 237654

Least Common Multiple of 729,978 with GCF Formula

Least Common Multiple of 729,978 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 729,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,978) = 3

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

GCF(729,978) x common factors =3 x 1 = 3

LCM(729,978) = ( 729 × 978 ) / 3

LCM(729,978) = 712962 / 3

LCM(729,978) = 237654


Lets's calculate GCF of 72,5213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237654/1

Therefore the LCM of Fractions 729/72,978/5213 is 237654

Greatest Common Factor of 72,5213 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5213 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 5213

List of positive integer factors of 5213 that divides 5213 without a remainder.

1,13,401,5213

Greatest Common Factor

We found the factors 72,5213 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5213 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 729/72, 978/5213

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 729/72, 978/5213?

Answer: LCM of Numerators as per given numbers 729/72, 978/5213 is

LCM of Numerators i.e. for 729,978 is 237654

GCF of denominators i.e. for 72,5213 is 1.

Thus, LCM of Fractions is 237654.Finally, LCM of Fractions for 729/72, 978/5213 is 237654.