Least Common Multiple of 19/824, 524/823, 131/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/824, 524/823, 131/872 quickly i.e. 9956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/824, 524/823, 131/872 is 9956.

LCM(19/824, 524/823, 131/872) = 9956

LCM of 19/824, 524/823, 131/872

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 19/824,524/823,131/872

Given numbers are 19/824,524/823,131/872

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 19,524,131

Least Common Multiple of Numerators i.e. LCM of 19,524,131 is 9956.

GCF of Denominators means GCF of 824,823,872 as per the given fractions.

GCF of 824,823,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,524,131

LCM of Fractions 19/824,524/823,131/872 is 9956

131 19, 524, 131
19, 4, 1

∴ So the LCM of the given numbers is 131 x 19 x 4 x 1 = 9956

Least Common Multiple of 19,524,131 with GCF Formula

Least Common Multiple of 19,524,131 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 19,524,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,524,131) = 1

common factors(in case of two or more numbers have common factors) = 131

GCF(19,524,131) x common factors =1 x 131 = 131

LCM(19,524,131) = ( 19 × 524 × 131 ) / 131

LCM(19,524,131) = 1304236 / 131

LCM(19,524,131) = 9956


Lets's calculate GCF of 824,823,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9956/1

Therefore the LCM of Fractions 19/824,524/823,131/872 is 9956

Greatest Common Factor of 824,823,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,823,872 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 824,823,872 . The biggest common factor number is the GCF number.
So the greatest common factor 824,823,872 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 19/824, 524/823, 131/872

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 19/824, 524/823, 131/872?

Answer: LCM of Numerators as per given numbers 19/824, 524/823, 131/872 is

LCM of Numerators i.e. for 19,524,131 is 9956

GCF of denominators i.e. for 824,823,872 is 1.

Thus, LCM of Fractions is 9956.Finally, LCM of Fractions for 19/824, 524/823, 131/872 is 9956.