Least Common Multiple of 523/80, 626/8902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 523/80, 626/8902 quickly i.e. 163699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/80, 626/8902 is 163699.

LCM(523/80, 626/8902) = 163699

LCM of 523/80, 626/8902

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 523/80,626/8902

Given numbers are 523/80,626/8902

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 523,626

Least Common Multiple of Numerators i.e. LCM of 523,626 is 327398.

GCF of Denominators means GCF of 80,8902 as per the given fractions.

GCF of 80,8902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,626

LCM of Fractions 523/80,626/8902 is 163699

Given numbers has no common factors except 1. So, there LCM is their product i.e 327398

Least Common Multiple of 523,626 with GCF Formula

Least Common Multiple of 523,626 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 523,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,626) = 1

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

GCF(523,626) x common factors =1 x 1 = 1

LCM(523,626) = ( 523 × 626 ) / 1

LCM(523,626) = 327398 / 1

LCM(523,626) = 327398


Lets's calculate GCF of 80,8902

2 80, 8902
40, 4451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327398/2

Therefore the LCM of Fractions 523/80,626/8902 is 163699

Greatest Common Factor of 80,8902 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,8902 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 8902

List of positive integer factors of 8902 that divides 8902 without a remainder.

1,2,4451,8902

Greatest Common Factor

We found the factors 80,8902 . The biggest common factor number is the GCF number.
So the greatest common factor 80,8902 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 523/80, 626/8902

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 523/80, 626/8902?

Answer: LCM of Numerators as per given numbers 523/80, 626/8902 is

LCM of Numerators i.e. for 523,626 is 327398

GCF of denominators i.e. for 80,8902 is 2.

Thus, LCM of Fractions is 163699.Finally, LCM of Fractions for 523/80, 626/8902 is 163699.