Least Common Multiple of 72/82, 24/76, 233/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/82, 24/76, 233/836 quickly i.e. 8388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/82, 24/76, 233/836 is 8388.

LCM(72/82, 24/76, 233/836) = 8388

LCM of 72/82, 24/76, 233/836

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 72/82,24/76,233/836

Given numbers are 72/82,24/76,233/836

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 72,24,233

Least Common Multiple of Numerators i.e. LCM of 72,24,233 is 16776.

GCF of Denominators means GCF of 82,76,836 as per the given fractions.

GCF of 82,76,836 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,24,233

LCM of Fractions 72/82,24/76,233/836 is 8388

2 72, 24, 233
2 36, 12, 233
2 18, 6, 233
3 9, 3, 233
1, 3, 233

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 3 x 233 = 16776

Least Common Multiple of 72,24,233 with GCF Formula

Least Common Multiple of 72,24,233 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 72,24,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,24,233) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,24,233) x common factors =1 x 24 = 24

LCM(72,24,233) = ( 72 × 24 × 233 ) / 24

LCM(72,24,233) = 402624 / 24

LCM(72,24,233) = 16776


Lets's calculate GCF of 82,76,836

2 82, 76, 836
41, 38, 418

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16776/2

Therefore the LCM of Fractions 72/82,24/76,233/836 is 8388

Greatest Common Factor of 82,76,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,76,836 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 82,76,836 . The biggest common factor number is the GCF number.
So the greatest common factor 82,76,836 is 2.


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 72/82, 24/76, 233/836

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 72/82, 24/76, 233/836?

Answer: LCM of Numerators as per given numbers 72/82, 24/76, 233/836 is

LCM of Numerators i.e. for 72,24,233 is 16776

GCF of denominators i.e. for 82,76,836 is 2.

Thus, LCM of Fractions is 8388.Finally, LCM of Fractions for 72/82, 24/76, 233/836 is 8388.