Least Common Multiple of 216/40, 269/71, 465/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/40, 269/71, 465/805 quickly i.e. 9006120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/40, 269/71, 465/805 is 9006120.

LCM(216/40, 269/71, 465/805) = 9006120

LCM of 216/40, 269/71, 465/805

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 216/40,269/71,465/805

Given numbers are 216/40,269/71,465/805

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 216,269,465

Least Common Multiple of Numerators i.e. LCM of 216,269,465 is 9006120.

GCF of Denominators means GCF of 40,71,805 as per the given fractions.

GCF of 40,71,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,269,465

LCM of Fractions 216/40,269/71,465/805 is 9006120

3 216, 269, 465
72, 269, 155

∴ So the LCM of the given numbers is 3 x 72 x 269 x 155 = 9006120

Least Common Multiple of 216,269,465 with GCF Formula

Least Common Multiple of 216,269,465 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 216,269,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,269,465) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(216,269,465) x common factors =1 x 3 = 3

LCM(216,269,465) = ( 216 × 269 × 465 ) / 3

LCM(216,269,465) = 27018360 / 3

LCM(216,269,465) = 9006120


Lets's calculate GCF of 40,71,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9006120/1

Therefore the LCM of Fractions 216/40,269/71,465/805 is 9006120

Greatest Common Factor of 40,71,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,71,805 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 40,71,805 . The biggest common factor number is the GCF number.
So the greatest common factor 40,71,805 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 216/40, 269/71, 465/805

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 216/40, 269/71, 465/805?

Answer: LCM of Numerators as per given numbers 216/40, 269/71, 465/805 is

LCM of Numerators i.e. for 216,269,465 is 9006120

GCF of denominators i.e. for 40,71,805 is 1.

Thus, LCM of Fractions is 9006120.Finally, LCM of Fractions for 216/40, 269/71, 465/805 is 9006120.