Least Common Multiple of 216/82, 792/34, 820/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/82, 792/34, 820/81 quickly i.e. 487080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/82, 792/34, 820/81 is 487080.

LCM(216/82, 792/34, 820/81) = 487080

LCM of 216/82, 792/34, 820/81

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 216/82,792/34,820/81

Given numbers are 216/82,792/34,820/81

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 216,792,820

Least Common Multiple of Numerators i.e. LCM of 216,792,820 is 487080.

GCF of Denominators means GCF of 82,34,81 as per the given fractions.

GCF of 82,34,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,792,820

LCM of Fractions 216/82,792/34,820/81 is 487080

2 216, 792, 820
2 108, 396, 410
2 54, 198, 205
3 27, 99, 205
3 9, 33, 205
3, 11, 205

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 11 x 205 = 487080

Least Common Multiple of 216,792,820 with GCF Formula

Least Common Multiple of 216,792,820 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 216,792,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,792,820) = 4

common factors(in case of two or more numbers have common factors) = 72

GCF(216,792,820) x common factors =4 x 72 = 288

LCM(216,792,820) = ( 216 × 792 × 820 ) / 288

LCM(216,792,820) = 140279040 / 288

LCM(216,792,820) = 487080


Lets's calculate GCF of 82,34,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487080/1

Therefore the LCM of Fractions 216/82,792/34,820/81 is 487080

Greatest Common Factor of 82,34,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,34,81 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 82,34,81 . The biggest common factor number is the GCF number.
So the greatest common factor 82,34,81 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 216/82, 792/34, 820/81

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 216/82, 792/34, 820/81?

Answer: LCM of Numerators as per given numbers 216/82, 792/34, 820/81 is

LCM of Numerators i.e. for 216,792,820 is 487080

GCF of denominators i.e. for 82,34,81 is 1.

Thus, LCM of Fractions is 487080.Finally, LCM of Fractions for 216/82, 792/34, 820/81 is 487080.