Least Common Multiple of 246/969, 9936/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/969, 9936/810 quickly i.e. 135792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/969, 9936/810 is 135792.

LCM(246/969, 9936/810) = 135792

LCM of 246/969, 9936/810

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 246/969,9936/810

Given numbers are 246/969,9936/810

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 246,9936

Least Common Multiple of Numerators i.e. LCM of 246,9936 is 407376.

GCF of Denominators means GCF of 969,810 as per the given fractions.

GCF of 969,810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,9936

LCM of Fractions 246/969,9936/810 is 135792

2 246, 9936
3 123, 4968
41, 1656

∴ So the LCM of the given numbers is 2 x 3 x 41 x 1656 = 407376

Least Common Multiple of 246,9936 with GCF Formula

Least Common Multiple of 246,9936 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 246,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,9936) = 6

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

GCF(246,9936) x common factors =6 x 1 = 6

LCM(246,9936) = ( 246 × 9936 ) / 6

LCM(246,9936) = 2444256 / 6

LCM(246,9936) = 407376


Lets's calculate GCF of 969,810

3 969, 810
323, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407376/3

Therefore the LCM of Fractions 246/969,9936/810 is 135792

Greatest Common Factor of 969,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,810 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 969,810 . The biggest common factor number is the GCF number.
So the greatest common factor 969,810 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 246/969, 9936/810

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 246/969, 9936/810?

Answer: LCM of Numerators as per given numbers 246/969, 9936/810 is

LCM of Numerators i.e. for 246,9936 is 407376

GCF of denominators i.e. for 969,810 is 3.

Thus, LCM of Fractions is 135792.Finally, LCM of Fractions for 246/969, 9936/810 is 135792.