Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 936/72, 301/336 quickly i.e. 11739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 936/72, 301/336 is 11739.
LCM(936/72, 301/336) = 11739
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 936/72,301/336
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 936,301
Least Common Multiple of Numerators i.e. LCM of 936,301 is 281736.
GCF of Denominators means GCF of 72,336 as per the given fractions.
GCF of 72,336 is 24 as it is the largest common factor for these numbers.
Lets's calculate LCM of 936,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 281736
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 936,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(936,301) x common factors =1 x 1 = 1
LCM(936,301) = ( 936 × 301 ) / 1
LCM(936,301) = 281736 / 1
LCM(936,301) = 281736
Lets's calculate GCF of 72,336
2 | 72, 336 |
2 | 36, 168 |
2 | 18, 84 |
3 | 9, 42 |
3, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281736/24
Therefore the LCM of Fractions 936/72,301/336 is 11739
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 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 72,336 . The biggest common factor number is the GCF number.
So the greatest common factor 72,336 is 24.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 936/72, 301/336?
Answer: LCM of Numerators as per given numbers 936/72, 301/336 is
LCM of Numerators i.e. for 936,301 is 281736
GCF of denominators i.e. for 72,336 is 24.
Thus, LCM of Fractions is 11739.Finally, LCM of Fractions for 936/72, 301/336 is 11739.