Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/12, 7/96, 69/75, 37/906 quickly i.e. 29785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/12, 7/96, 69/75, 37/906 is 29785.
LCM(5/12, 7/96, 69/75, 37/906) = 29785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/12,7/96,69/75,37/906
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 5,7,69,37
Least Common Multiple of Numerators i.e. LCM of 5,7,69,37 is 89355.
GCF of Denominators means GCF of 12,96,75,906 as per the given fractions.
GCF of 12,96,75,906 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,7,69,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 89355
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 5,7,69,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,7,69,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,7,69,37) x common factors =1 x 1 = 1
LCM(5,7,69,37) = ( 5 × 7 × 69 × 37 ) / 1
LCM(5,7,69,37) = 89355 / 1
LCM(5,7,69,37) = 89355
Lets's calculate GCF of 12,96,75,906
3 | 12, 96, 75, 906 |
4, 32, 25, 302 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89355/3
Therefore the LCM of Fractions 5/12,7/96,69/75,37/906 is 29785
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 12,96,75,906 . The biggest common factor number is the GCF number.
So the greatest common factor 12,96,75,906 is 3.
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 5/12, 7/96, 69/75, 37/906?
Answer: LCM of Numerators as per given numbers 5/12, 7/96, 69/75, 37/906 is
LCM of Numerators i.e. for 5,7,69,37 is 89355
GCF of denominators i.e. for 12,96,75,906 is 3.
Thus, LCM of Fractions is 29785.Finally, LCM of Fractions for 5/12, 7/96, 69/75, 37/906 is 29785.