Least Common Multiple of 5200/574, 9275/4506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5200/574, 9275/4506 quickly i.e. 964600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5200/574, 9275/4506 is 964600.

LCM(5200/574, 9275/4506) = 964600

LCM of 5200/574, 9275/4506

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 5200/574,9275/4506

Given numbers are 5200/574,9275/4506

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 5200,9275

Least Common Multiple of Numerators i.e. LCM of 5200,9275 is 1929200.

GCF of Denominators means GCF of 574,4506 as per the given fractions.

GCF of 574,4506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5200,9275

LCM of Fractions 5200/574,9275/4506 is 964600

5 5200, 9275
5 1040, 1855
208, 371

∴ So the LCM of the given numbers is 5 x 5 x 208 x 371 = 1929200

Least Common Multiple of 5200,9275 with GCF Formula

Least Common Multiple of 5200,9275 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 5200,9275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5200,9275) = 25

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

GCF(5200,9275) x common factors =25 x 1 = 25

LCM(5200,9275) = ( 5200 × 9275 ) / 25

LCM(5200,9275) = 48230000 / 25

LCM(5200,9275) = 1929200


Lets's calculate GCF of 574,4506

2 574, 4506
287, 2253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929200/2

Therefore the LCM of Fractions 5200/574,9275/4506 is 964600

Greatest Common Factor of 574,4506 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,4506 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1,2,3,6,751,1502,2253,4506

Greatest Common Factor

We found the factors 574,4506 . The biggest common factor number is the GCF number.
So the greatest common factor 574,4506 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 5200/574, 9275/4506

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 5200/574, 9275/4506?

Answer: LCM of Numerators as per given numbers 5200/574, 9275/4506 is

LCM of Numerators i.e. for 5200,9275 is 1929200

GCF of denominators i.e. for 574,4506 is 2.

Thus, LCM of Fractions is 964600.Finally, LCM of Fractions for 5200/574, 9275/4506 is 964600.