Least Common Multiple of 500/10, 396/82, 821/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/10, 396/82, 821/74 quickly i.e. 20319750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/10, 396/82, 821/74 is 20319750.

LCM(500/10, 396/82, 821/74) = 20319750

LCM of 500/10, 396/82, 821/74

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 500/10,396/82,821/74

Given numbers are 500/10,396/82,821/74

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 500,396,821

Least Common Multiple of Numerators i.e. LCM of 500,396,821 is 40639500.

GCF of Denominators means GCF of 10,82,74 as per the given fractions.

GCF of 10,82,74 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,396,821

LCM of Fractions 500/10,396/82,821/74 is 20319750

2 500, 396, 821
2 250, 198, 821
125, 99, 821

∴ So the LCM of the given numbers is 2 x 2 x 125 x 99 x 821 = 40639500

Least Common Multiple of 500,396,821 with GCF Formula

Least Common Multiple of 500,396,821 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 500,396,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,396,821) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(500,396,821) x common factors =1 x 4 = 4

LCM(500,396,821) = ( 500 × 396 × 821 ) / 4

LCM(500,396,821) = 162558000 / 4

LCM(500,396,821) = 40639500


Lets's calculate GCF of 10,82,74

2 10, 82, 74
5, 41, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40639500/2

Therefore the LCM of Fractions 500/10,396/82,821/74 is 20319750

Greatest Common Factor of 10,82,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,82,74 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 10,82,74 . The biggest common factor number is the GCF number.
So the greatest common factor 10,82,74 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 500/10, 396/82, 821/74

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 500/10, 396/82, 821/74?

Answer: LCM of Numerators as per given numbers 500/10, 396/82, 821/74 is

LCM of Numerators i.e. for 500,396,821 is 40639500

GCF of denominators i.e. for 10,82,74 is 2.

Thus, LCM of Fractions is 20319750.Finally, LCM of Fractions for 500/10, 396/82, 821/74 is 20319750.