Least Common Multiple of 282/37, 516/82, 863/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/37, 516/82, 863/372 quickly i.e. 20929476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/37, 516/82, 863/372 is 20929476.

LCM(282/37, 516/82, 863/372) = 20929476

LCM of 282/37, 516/82, 863/372

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 282/37,516/82,863/372

Given numbers are 282/37,516/82,863/372

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 282,516,863

Least Common Multiple of Numerators i.e. LCM of 282,516,863 is 20929476.

GCF of Denominators means GCF of 37,82,372 as per the given fractions.

GCF of 37,82,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,516,863

LCM of Fractions 282/37,516/82,863/372 is 20929476

2 282, 516, 863
3 141, 258, 863
47, 86, 863

∴ So the LCM of the given numbers is 2 x 3 x 47 x 86 x 863 = 20929476

Least Common Multiple of 282,516,863 with GCF Formula

Least Common Multiple of 282,516,863 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 282,516,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,516,863) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(282,516,863) x common factors =1 x 6 = 6

LCM(282,516,863) = ( 282 × 516 × 863 ) / 6

LCM(282,516,863) = 125576856 / 6

LCM(282,516,863) = 20929476


Lets's calculate GCF of 37,82,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20929476/1

Therefore the LCM of Fractions 282/37,516/82,863/372 is 20929476

Greatest Common Factor of 37,82,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,82,372 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 82

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

1,2,41,82

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 37,82,372 . The biggest common factor number is the GCF number.
So the greatest common factor 37,82,372 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 282/37, 516/82, 863/372

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 282/37, 516/82, 863/372?

Answer: LCM of Numerators as per given numbers 282/37, 516/82, 863/372 is

LCM of Numerators i.e. for 282,516,863 is 20929476

GCF of denominators i.e. for 37,82,372 is 1.

Thus, LCM of Fractions is 20929476.Finally, LCM of Fractions for 282/37, 516/82, 863/372 is 20929476.