Least Common Multiple of 4503/501, 5200/8222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4503/501, 5200/8222 quickly i.e. 23415600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4503/501, 5200/8222 is 23415600.

LCM(4503/501, 5200/8222) = 23415600

LCM of 4503/501, 5200/8222

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 4503/501,5200/8222

Given numbers are 4503/501,5200/8222

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 4503,5200

Least Common Multiple of Numerators i.e. LCM of 4503,5200 is 23415600.

GCF of Denominators means GCF of 501,8222 as per the given fractions.

GCF of 501,8222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4503,5200

LCM of Fractions 4503/501,5200/8222 is 23415600

Given numbers has no common factors except 1. So, there LCM is their product i.e 23415600

Least Common Multiple of 4503,5200 with GCF Formula

Least Common Multiple of 4503,5200 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 4503,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4503,5200) = 1

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

GCF(4503,5200) x common factors =1 x 1 = 1

LCM(4503,5200) = ( 4503 × 5200 ) / 1

LCM(4503,5200) = 23415600 / 1

LCM(4503,5200) = 23415600


Lets's calculate GCF of 501,8222

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23415600/1

Therefore the LCM of Fractions 4503/501,5200/8222 is 23415600

Greatest Common Factor of 501,8222 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,8222 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1,2,4111,8222

Greatest Common Factor

We found the factors 501,8222 . The biggest common factor number is the GCF number.
So the greatest common factor 501,8222 is 1.


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 4503/501, 5200/8222

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 4503/501, 5200/8222?

Answer: LCM of Numerators as per given numbers 4503/501, 5200/8222 is

LCM of Numerators i.e. for 4503,5200 is 23415600

GCF of denominators i.e. for 501,8222 is 1.

Thus, LCM of Fractions is 23415600.Finally, LCM of Fractions for 4503/501, 5200/8222 is 23415600.