Least Common Multiple of 9466/203, 5506/2523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9466/203, 5506/2523 quickly i.e. 26059898/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9466/203, 5506/2523 is 26059898/29.

LCM(9466/203, 5506/2523) = 26059898/29

LCM of 9466/203, 5506/2523

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 9466/203,5506/2523

Given numbers are 9466/203,5506/2523

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 9466,5506

Least Common Multiple of Numerators i.e. LCM of 9466,5506 is 26059898.

GCF of Denominators means GCF of 203,2523 as per the given fractions.

GCF of 203,2523 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9466,5506

LCM of Fractions 9466/203,5506/2523 is 26059898/29

2 9466, 5506
4733, 2753

∴ So the LCM of the given numbers is 2 x 4733 x 2753 = 26059898

Least Common Multiple of 9466,5506 with GCF Formula

Least Common Multiple of 9466,5506 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 9466,5506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9466,5506) = 2

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

GCF(9466,5506) x common factors =2 x 1 = 2

LCM(9466,5506) = ( 9466 × 5506 ) / 2

LCM(9466,5506) = 52119796 / 2

LCM(9466,5506) = 26059898


Lets's calculate GCF of 203,2523

29 203, 2523
7, 87

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26059898/29

Therefore the LCM of Fractions 9466/203,5506/2523 is 26059898/29

Greatest Common Factor of 203,2523 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,2523 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 2523

List of positive integer factors of 2523 that divides 2523 without a remainder.

1,3,29,87,841,2523

Greatest Common Factor

We found the factors 203,2523 . The biggest common factor number is the GCF number.
So the greatest common factor 203,2523 is 29.


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 9466/203, 5506/2523

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 9466/203, 5506/2523?

Answer: LCM of Numerators as per given numbers 9466/203, 5506/2523 is

LCM of Numerators i.e. for 9466,5506 is 26059898

GCF of denominators i.e. for 203,2523 is 29.

Thus, LCM of Fractions is 26059898/29.Finally, LCM of Fractions for 9466/203, 5506/2523 is 26059898/29.