Least Common Multiple of 8392/785, 2298/5285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8392/785, 2298/5285 quickly i.e. 9642408/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8392/785, 2298/5285 is 9642408/5.

LCM(8392/785, 2298/5285) = 9642408/5

LCM of 8392/785, 2298/5285

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 8392/785,2298/5285

Given numbers are 8392/785,2298/5285

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 8392,2298

Least Common Multiple of Numerators i.e. LCM of 8392,2298 is 9642408.

GCF of Denominators means GCF of 785,5285 as per the given fractions.

GCF of 785,5285 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8392,2298

LCM of Fractions 8392/785,2298/5285 is 9642408/5

2 8392, 2298
4196, 1149

∴ So the LCM of the given numbers is 2 x 4196 x 1149 = 9642408

Least Common Multiple of 8392,2298 with GCF Formula

Least Common Multiple of 8392,2298 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 8392,2298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8392,2298) = 2

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

GCF(8392,2298) x common factors =2 x 1 = 2

LCM(8392,2298) = ( 8392 × 2298 ) / 2

LCM(8392,2298) = 19284816 / 2

LCM(8392,2298) = 9642408


Lets's calculate GCF of 785,5285

5 785, 5285
157, 1057

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9642408/5

Therefore the LCM of Fractions 8392/785,2298/5285 is 9642408/5

Greatest Common Factor of 785,5285 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,5285 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1,5,7,35,151,755,1057,5285

Greatest Common Factor

We found the factors 785,5285 . The biggest common factor number is the GCF number.
So the greatest common factor 785,5285 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8392/785, 2298/5285

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 8392/785, 2298/5285?

Answer: LCM of Numerators as per given numbers 8392/785, 2298/5285 is

LCM of Numerators i.e. for 8392,2298 is 9642408

GCF of denominators i.e. for 785,5285 is 5.

Thus, LCM of Fractions is 9642408/5.Finally, LCM of Fractions for 8392/785, 2298/5285 is 9642408/5.