Least Common Multiple of 972/609, 6774/9327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/609, 6774/9327 quickly i.e. 365796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/609, 6774/9327 is 365796.

LCM(972/609, 6774/9327) = 365796

LCM of 972/609, 6774/9327

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 972/609,6774/9327

Given numbers are 972/609,6774/9327

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 972,6774

Least Common Multiple of Numerators i.e. LCM of 972,6774 is 1097388.

GCF of Denominators means GCF of 609,9327 as per the given fractions.

GCF of 609,9327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,6774

LCM of Fractions 972/609,6774/9327 is 365796

2 972, 6774
3 486, 3387
162, 1129

∴ So the LCM of the given numbers is 2 x 3 x 162 x 1129 = 1097388

Least Common Multiple of 972,6774 with GCF Formula

Least Common Multiple of 972,6774 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 972,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,6774) = 6

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

GCF(972,6774) x common factors =6 x 1 = 6

LCM(972,6774) = ( 972 × 6774 ) / 6

LCM(972,6774) = 6584328 / 6

LCM(972,6774) = 1097388


Lets's calculate GCF of 609,9327

3 609, 9327
203, 3109

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1097388/3

Therefore the LCM of Fractions 972/609,6774/9327 is 365796

Greatest Common Factor of 609,9327 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,9327 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1,3,3109,9327

Greatest Common Factor

We found the factors 609,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 609,9327 is 3.


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 972/609, 6774/9327

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 972/609, 6774/9327?

Answer: LCM of Numerators as per given numbers 972/609, 6774/9327 is

LCM of Numerators i.e. for 972,6774 is 1097388

GCF of denominators i.e. for 609,9327 is 3.

Thus, LCM of Fractions is 365796.Finally, LCM of Fractions for 972/609, 6774/9327 is 365796.