Least Common Multiple of 8696/116, 8406/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8696/116, 8406/396 quickly i.e. 9137322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8696/116, 8406/396 is 9137322.

LCM(8696/116, 8406/396) = 9137322

LCM of 8696/116, 8406/396

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 8696/116,8406/396

Given numbers are 8696/116,8406/396

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 8696,8406

Least Common Multiple of Numerators i.e. LCM of 8696,8406 is 36549288.

GCF of Denominators means GCF of 116,396 as per the given fractions.

GCF of 116,396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8696,8406

LCM of Fractions 8696/116,8406/396 is 9137322

2 8696, 8406
4348, 4203

∴ So the LCM of the given numbers is 2 x 4348 x 4203 = 36549288

Least Common Multiple of 8696,8406 with GCF Formula

Least Common Multiple of 8696,8406 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 8696,8406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8696,8406) = 2

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

GCF(8696,8406) x common factors =2 x 1 = 2

LCM(8696,8406) = ( 8696 × 8406 ) / 2

LCM(8696,8406) = 73098576 / 2

LCM(8696,8406) = 36549288


Lets's calculate GCF of 116,396

2 116, 396
2 58, 198
29, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36549288/4

Therefore the LCM of Fractions 8696/116,8406/396 is 9137322

Greatest Common Factor of 116,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,396 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 116,396 . The biggest common factor number is the GCF number.
So the greatest common factor 116,396 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8696/116, 8406/396

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 8696/116, 8406/396?

Answer: LCM of Numerators as per given numbers 8696/116, 8406/396 is

LCM of Numerators i.e. for 8696,8406 is 36549288

GCF of denominators i.e. for 116,396 is 4.

Thus, LCM of Fractions is 9137322.Finally, LCM of Fractions for 8696/116, 8406/396 is 9137322.