Least Common Multiple of 936/81, 395/22, 707/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/81, 395/22, 707/144 quickly i.e. 261392040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/81, 395/22, 707/144 is 261392040.

LCM(936/81, 395/22, 707/144) = 261392040

LCM of 936/81, 395/22, 707/144

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 936/81,395/22,707/144

Given numbers are 936/81,395/22,707/144

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 936,395,707

Least Common Multiple of Numerators i.e. LCM of 936,395,707 is 261392040.

GCF of Denominators means GCF of 81,22,144 as per the given fractions.

GCF of 81,22,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,395,707

LCM of Fractions 936/81,395/22,707/144 is 261392040

Given numbers has no common factors except 1. So, there LCM is their product i.e 261392040

Least Common Multiple of 936,395,707 with GCF Formula

Least Common Multiple of 936,395,707 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 936,395,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,395,707) = 1

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

GCF(936,395,707) x common factors =1 x 1 = 1

LCM(936,395,707) = ( 936 × 395 × 707 ) / 1

LCM(936,395,707) = 261392040 / 1

LCM(936,395,707) = 261392040


Lets's calculate GCF of 81,22,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261392040/1

Therefore the LCM of Fractions 936/81,395/22,707/144 is 261392040

Greatest Common Factor of 81,22,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,22,144 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 81,22,144 . The biggest common factor number is the GCF number.
So the greatest common factor 81,22,144 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 936/81, 395/22, 707/144

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 936/81, 395/22, 707/144?

Answer: LCM of Numerators as per given numbers 936/81, 395/22, 707/144 is

LCM of Numerators i.e. for 936,395,707 is 261392040

GCF of denominators i.e. for 81,22,144 is 1.

Thus, LCM of Fractions is 261392040.Finally, LCM of Fractions for 936/81, 395/22, 707/144 is 261392040.