Least Common Multiple of 24/886, 71/180, 307/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/886, 71/180, 307/836 quickly i.e. 261564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/886, 71/180, 307/836 is 261564.

LCM(24/886, 71/180, 307/836) = 261564

LCM of 24/886, 71/180, 307/836

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 24/886,71/180,307/836

Given numbers are 24/886,71/180,307/836

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 24,71,307

Least Common Multiple of Numerators i.e. LCM of 24,71,307 is 523128.

GCF of Denominators means GCF of 886,180,836 as per the given fractions.

GCF of 886,180,836 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,71,307

LCM of Fractions 24/886,71/180,307/836 is 261564

Given numbers has no common factors except 1. So, there LCM is their product i.e 523128

Least Common Multiple of 24,71,307 with GCF Formula

Least Common Multiple of 24,71,307 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 24,71,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,71,307) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(24,71,307) x common factors =1 x 1 = 1

LCM(24,71,307) = ( 24 × 71 × 307 ) / 1

LCM(24,71,307) = 523128 / 1

LCM(24,71,307) = 523128


Lets's calculate GCF of 886,180,836

2 886, 180, 836
443, 90, 418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523128/2

Therefore the LCM of Fractions 24/886,71/180,307/836 is 261564

Greatest Common Factor of 886,180,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,180,836 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

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 886,180,836 . The biggest common factor number is the GCF number.
So the greatest common factor 886,180,836 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 24/886, 71/180, 307/836

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 24/886, 71/180, 307/836?

Answer: LCM of Numerators as per given numbers 24/886, 71/180, 307/836 is

LCM of Numerators i.e. for 24,71,307 is 523128

GCF of denominators i.e. for 886,180,836 is 2.

Thus, LCM of Fractions is 261564.Finally, LCM of Fractions for 24/886, 71/180, 307/836 is 261564.