Least Common Multiple of 8088/494, 9208/8239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8088/494, 9208/8239 quickly i.e. 9309288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8088/494, 9208/8239 is 9309288.

LCM(8088/494, 9208/8239) = 9309288

LCM of 8088/494, 9208/8239

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 8088/494,9208/8239

Given numbers are 8088/494,9208/8239

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 8088,9208

Least Common Multiple of Numerators i.e. LCM of 8088,9208 is 9309288.

GCF of Denominators means GCF of 494,8239 as per the given fractions.

GCF of 494,8239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8088,9208

LCM of Fractions 8088/494,9208/8239 is 9309288

2 8088, 9208
2 4044, 4604
2 2022, 2302
1011, 1151

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1011 x 1151 = 9309288

Least Common Multiple of 8088,9208 with GCF Formula

Least Common Multiple of 8088,9208 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 8088,9208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8088,9208) = 8

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

GCF(8088,9208) x common factors =8 x 1 = 8

LCM(8088,9208) = ( 8088 × 9208 ) / 8

LCM(8088,9208) = 74474304 / 8

LCM(8088,9208) = 9309288


Lets's calculate GCF of 494,8239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9309288/1

Therefore the LCM of Fractions 8088/494,9208/8239 is 9309288

Greatest Common Factor of 494,8239 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,8239 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 8239

List of positive integer factors of 8239 that divides 8239 without a remainder.

1,7,11,77,107,749,1177,8239

Greatest Common Factor

We found the factors 494,8239 . The biggest common factor number is the GCF number.
So the greatest common factor 494,8239 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8088/494, 9208/8239

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 8088/494, 9208/8239?

Answer: LCM of Numerators as per given numbers 8088/494, 9208/8239 is

LCM of Numerators i.e. for 8088,9208 is 9309288

GCF of denominators i.e. for 494,8239 is 1.

Thus, LCM of Fractions is 9309288.Finally, LCM of Fractions for 8088/494, 9208/8239 is 9309288.