Least Common Multiple of 36/405, 36/611, 219/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/405, 36/611, 219/747 quickly i.e. 2628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/405, 36/611, 219/747 is 2628.

LCM(36/405, 36/611, 219/747) = 2628

LCM of 36/405, 36/611, 219/747

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 36/405,36/611,219/747

Given numbers are 36/405,36/611,219/747

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 36,36,219

Least Common Multiple of Numerators i.e. LCM of 36,36,219 is 2628.

GCF of Denominators means GCF of 405,611,747 as per the given fractions.

GCF of 405,611,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,36,219

LCM of Fractions 36/405,36/611,219/747 is 2628

2 36, 36, 219
2 18, 18, 219
3 9, 9, 219
3 3, 3, 73
1, 1, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 73 = 2628

Least Common Multiple of 36,36,219 with GCF Formula

Least Common Multiple of 36,36,219 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 36,36,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,36,219) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(36,36,219) x common factors =3 x 36 = 108

LCM(36,36,219) = ( 36 × 36 × 219 ) / 108

LCM(36,36,219) = 283824 / 108

LCM(36,36,219) = 2628


Lets's calculate GCF of 405,611,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2628/1

Therefore the LCM of Fractions 36/405,36/611,219/747 is 2628

Greatest Common Factor of 405,611,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,611,747 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 405,611,747 . The biggest common factor number is the GCF number.
So the greatest common factor 405,611,747 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 36/405, 36/611, 219/747

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 36/405, 36/611, 219/747?

Answer: LCM of Numerators as per given numbers 36/405, 36/611, 219/747 is

LCM of Numerators i.e. for 36,36,219 is 2628

GCF of denominators i.e. for 405,611,747 is 1.

Thus, LCM of Fractions is 2628.Finally, LCM of Fractions for 36/405, 36/611, 219/747 is 2628.