Least Common Multiple of 9246/492, 9896/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9246/492, 9896/812 quickly i.e. 11437302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9246/492, 9896/812 is 11437302.

LCM(9246/492, 9896/812) = 11437302

LCM of 9246/492, 9896/812

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 9246/492,9896/812

Given numbers are 9246/492,9896/812

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 9246,9896

Least Common Multiple of Numerators i.e. LCM of 9246,9896 is 45749208.

GCF of Denominators means GCF of 492,812 as per the given fractions.

GCF of 492,812 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9246,9896

LCM of Fractions 9246/492,9896/812 is 11437302

2 9246, 9896
4623, 4948

∴ So the LCM of the given numbers is 2 x 4623 x 4948 = 45749208

Least Common Multiple of 9246,9896 with GCF Formula

Least Common Multiple of 9246,9896 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 9246,9896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9246,9896) = 2

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

GCF(9246,9896) x common factors =2 x 1 = 2

LCM(9246,9896) = ( 9246 × 9896 ) / 2

LCM(9246,9896) = 91498416 / 2

LCM(9246,9896) = 45749208


Lets's calculate GCF of 492,812

2 492, 812
2 246, 406
123, 203

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45749208/4

Therefore the LCM of Fractions 9246/492,9896/812 is 11437302

Greatest Common Factor of 492,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,812 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 492,812 . The biggest common factor number is the GCF number.
So the greatest common factor 492,812 is 4.


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 9246/492, 9896/812

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 9246/492, 9896/812?

Answer: LCM of Numerators as per given numbers 9246/492, 9896/812 is

LCM of Numerators i.e. for 9246,9896 is 45749208

GCF of denominators i.e. for 492,812 is 4.

Thus, LCM of Fractions is 11437302.Finally, LCM of Fractions for 9246/492, 9896/812 is 11437302.