Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/74, 66/40, 16/836 quickly i.e. 9768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/74, 66/40, 16/836 is 9768.
LCM(37/74, 66/40, 16/836) = 9768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/74,66/40,16/836
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 37,66,16
Least Common Multiple of Numerators i.e. LCM of 37,66,16 is 19536.
GCF of Denominators means GCF of 74,40,836 as per the given fractions.
GCF of 74,40,836 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,66,16
2 | 37, 66, 16 |
37, 33, 8 |
∴ So the LCM of the given numbers is 2 x 37 x 33 x 8 = 19536
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 37,66,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,66,16) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,66,16) x common factors =1 x 2 = 2
LCM(37,66,16) = ( 37 × 66 × 16 ) / 2
LCM(37,66,16) = 39072 / 2
LCM(37,66,16) = 19536
Lets's calculate GCF of 74,40,836
2 | 74, 40, 836 |
37, 20, 418 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19536/2
Therefore the LCM of Fractions 37/74,66/40,16/836 is 9768
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 74,40,836 . The biggest common factor number is the GCF number.
So the greatest common factor 74,40,836 is 2.
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 37/74, 66/40, 16/836?
Answer: LCM of Numerators as per given numbers 37/74, 66/40, 16/836 is
LCM of Numerators i.e. for 37,66,16 is 19536
GCF of denominators i.e. for 74,40,836 is 2.
Thus, LCM of Fractions is 9768.Finally, LCM of Fractions for 37/74, 66/40, 16/836 is 9768.