Least Common Multiple of 36/66, 333/72, 780/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/66, 333/72, 780/233 quickly i.e. 86580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/66, 333/72, 780/233 is 86580.

LCM(36/66, 333/72, 780/233) = 86580

LCM of 36/66, 333/72, 780/233

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 36/66,333/72,780/233

Given numbers are 36/66,333/72,780/233

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 36,333,780

Least Common Multiple of Numerators i.e. LCM of 36,333,780 is 86580.

GCF of Denominators means GCF of 66,72,233 as per the given fractions.

GCF of 66,72,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,333,780

LCM of Fractions 36/66,333/72,780/233 is 86580

2 36, 333, 780
2 18, 333, 390
3 9, 333, 195
3 3, 111, 65
1, 37, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 37 x 65 = 86580

Least Common Multiple of 36,333,780 with GCF Formula

Least Common Multiple of 36,333,780 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 36,333,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,333,780) = 3

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

GCF(36,333,780) x common factors =3 x 36 = 108

LCM(36,333,780) = ( 36 × 333 × 780 ) / 108

LCM(36,333,780) = 9350640 / 108

LCM(36,333,780) = 86580


Lets's calculate GCF of 66,72,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86580/1

Therefore the LCM of Fractions 36/66,333/72,780/233 is 86580

Greatest Common Factor of 66,72,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,72,233 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 66,72,233 . The biggest common factor number is the GCF number.
So the greatest common factor 66,72,233 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 36/66, 333/72, 780/233

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 36/66, 333/72, 780/233?

Answer: LCM of Numerators as per given numbers 36/66, 333/72, 780/233 is

LCM of Numerators i.e. for 36,333,780 is 86580

GCF of denominators i.e. for 66,72,233 is 1.

Thus, LCM of Fractions is 86580.Finally, LCM of Fractions for 36/66, 333/72, 780/233 is 86580.