Least Common Multiple of 503/20, 800/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 503/20, 800/452 quickly i.e. 100600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/20, 800/452 is 100600.

LCM(503/20, 800/452) = 100600

LCM of 503/20, 800/452

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 503/20,800/452

Given numbers are 503/20,800/452

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 503,800

Least Common Multiple of Numerators i.e. LCM of 503,800 is 402400.

GCF of Denominators means GCF of 20,452 as per the given fractions.

GCF of 20,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,800

LCM of Fractions 503/20,800/452 is 100600

Given numbers has no common factors except 1. So, there LCM is their product i.e 402400

Least Common Multiple of 503,800 with GCF Formula

Least Common Multiple of 503,800 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 503,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,800) = 1

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

GCF(503,800) x common factors =1 x 1 = 1

LCM(503,800) = ( 503 × 800 ) / 1

LCM(503,800) = 402400 / 1

LCM(503,800) = 402400


Lets's calculate GCF of 20,452

2 20, 452
2 10, 226
5, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402400/4

Therefore the LCM of Fractions 503/20,800/452 is 100600

Greatest Common Factor of 20,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,452 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 20,452 . The biggest common factor number is the GCF number.
So the greatest common factor 20,452 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 503/20, 800/452

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 503/20, 800/452?

Answer: LCM of Numerators as per given numbers 503/20, 800/452 is

LCM of Numerators i.e. for 503,800 is 402400

GCF of denominators i.e. for 20,452 is 4.

Thus, LCM of Fractions is 100600.Finally, LCM of Fractions for 503/20, 800/452 is 100600.