Least Common Multiple of 220/503, 500/392, 231/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/503, 500/392, 231/821 quickly i.e. 115500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/503, 500/392, 231/821 is 115500.

LCM(220/503, 500/392, 231/821) = 115500

LCM of 220/503, 500/392, 231/821

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 220/503,500/392,231/821

Given numbers are 220/503,500/392,231/821

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 220,500,231

Least Common Multiple of Numerators i.e. LCM of 220,500,231 is 115500.

GCF of Denominators means GCF of 503,392,821 as per the given fractions.

GCF of 503,392,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,500,231

LCM of Fractions 220/503,500/392,231/821 is 115500

2 220, 500, 231
2 110, 250, 231
5 55, 125, 231
11 11, 25, 231
1, 25, 21

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 1 x 25 x 21 = 115500

Least Common Multiple of 220,500,231 with GCF Formula

Least Common Multiple of 220,500,231 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 220,500,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,500,231) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(220,500,231) x common factors =1 x 220 = 220

LCM(220,500,231) = ( 220 × 500 × 231 ) / 220

LCM(220,500,231) = 25410000 / 220

LCM(220,500,231) = 115500


Lets's calculate GCF of 503,392,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115500/1

Therefore the LCM of Fractions 220/503,500/392,231/821 is 115500

Greatest Common Factor of 503,392,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,392,821 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 503,392,821 . The biggest common factor number is the GCF number.
So the greatest common factor 503,392,821 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 220/503, 500/392, 231/821

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 220/503, 500/392, 231/821?

Answer: LCM of Numerators as per given numbers 220/503, 500/392, 231/821 is

LCM of Numerators i.e. for 220,500,231 is 115500

GCF of denominators i.e. for 503,392,821 is 1.

Thus, LCM of Fractions is 115500.Finally, LCM of Fractions for 220/503, 500/392, 231/821 is 115500.