Least Common Multiple of 523/90, 371/5656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/90, 371/5656 quickly i.e. 194033/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/90, 371/5656 is 194033/2.

LCM(523/90, 371/5656) = 194033/2

LCM of 523/90, 371/5656

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 523/90,371/5656

Given numbers are 523/90,371/5656

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 523,371

Least Common Multiple of Numerators i.e. LCM of 523,371 is 194033.

GCF of Denominators means GCF of 90,5656 as per the given fractions.

GCF of 90,5656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,371

LCM of Fractions 523/90,371/5656 is 194033/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 194033

Least Common Multiple of 523,371 with GCF Formula

Least Common Multiple of 523,371 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 523,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,371) = 1

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

GCF(523,371) x common factors =1 x 1 = 1

LCM(523,371) = ( 523 × 371 ) / 1

LCM(523,371) = 194033 / 1

LCM(523,371) = 194033


Lets's calculate GCF of 90,5656

2 90, 5656
45, 2828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194033/2

Therefore the LCM of Fractions 523/90,371/5656 is 194033/2

Greatest Common Factor of 90,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5656 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 90,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5656 is 2.


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 523/90, 371/5656

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 523/90, 371/5656?

Answer: LCM of Numerators as per given numbers 523/90, 371/5656 is

LCM of Numerators i.e. for 523,371 is 194033

GCF of denominators i.e. for 90,5656 is 2.

Thus, LCM of Fractions is 194033/2.Finally, LCM of Fractions for 523/90, 371/5656 is 194033/2.