Least Common Multiple of 51/72, 866/83, 883/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/72, 866/83, 883/38 quickly i.e. 38998578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/72, 866/83, 883/38 is 38998578.

LCM(51/72, 866/83, 883/38) = 38998578

LCM of 51/72, 866/83, 883/38

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 51/72,866/83,883/38

Given numbers are 51/72,866/83,883/38

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 51,866,883

Least Common Multiple of Numerators i.e. LCM of 51,866,883 is 38998578.

GCF of Denominators means GCF of 72,83,38 as per the given fractions.

GCF of 72,83,38 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,866,883

LCM of Fractions 51/72,866/83,883/38 is 38998578

Given numbers has no common factors except 1. So, there LCM is their product i.e 38998578

Least Common Multiple of 51,866,883 with GCF Formula

Least Common Multiple of 51,866,883 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 51,866,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,866,883) = 1

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

GCF(51,866,883) x common factors =1 x 1 = 1

LCM(51,866,883) = ( 51 × 866 × 883 ) / 1

LCM(51,866,883) = 38998578 / 1

LCM(51,866,883) = 38998578


Lets's calculate GCF of 72,83,38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38998578/1

Therefore the LCM of Fractions 51/72,866/83,883/38 is 38998578

Greatest Common Factor of 72,83,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,83,38 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 72,83,38 . The biggest common factor number is the GCF number.
So the greatest common factor 72,83,38 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 51/72, 866/83, 883/38

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 51/72, 866/83, 883/38?

Answer: LCM of Numerators as per given numbers 51/72, 866/83, 883/38 is

LCM of Numerators i.e. for 51,866,883 is 38998578

GCF of denominators i.e. for 72,83,38 is 1.

Thus, LCM of Fractions is 38998578.Finally, LCM of Fractions for 51/72, 866/83, 883/38 is 38998578.