Least Common Multiple of 523/955, 5123/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/955, 5123/825 quickly i.e. 2679329/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/955, 5123/825 is 2679329/5.

LCM(523/955, 5123/825) = 2679329/5

LCM of 523/955, 5123/825

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 523/955,5123/825

Given numbers are 523/955,5123/825

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 523,5123

Least Common Multiple of Numerators i.e. LCM of 523,5123 is 2679329.

GCF of Denominators means GCF of 955,825 as per the given fractions.

GCF of 955,825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,5123

LCM of Fractions 523/955,5123/825 is 2679329/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2679329

Least Common Multiple of 523,5123 with GCF Formula

Least Common Multiple of 523,5123 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 523,5123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,5123) = 1

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

GCF(523,5123) x common factors =1 x 1 = 1

LCM(523,5123) = ( 523 × 5123 ) / 1

LCM(523,5123) = 2679329 / 1

LCM(523,5123) = 2679329


Lets's calculate GCF of 955,825

5 955, 825
191, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2679329/5

Therefore the LCM of Fractions 523/955,5123/825 is 2679329/5

Greatest Common Factor of 955,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,825 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 955,825 . The biggest common factor number is the GCF number.
So the greatest common factor 955,825 is 5.


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 523/955, 5123/825

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 523/955, 5123/825?

Answer: LCM of Numerators as per given numbers 523/955, 5123/825 is

LCM of Numerators i.e. for 523,5123 is 2679329

GCF of denominators i.e. for 955,825 is 5.

Thus, LCM of Fractions is 2679329/5.Finally, LCM of Fractions for 523/955, 5123/825 is 2679329/5.