Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/33, 174/8408 quickly i.e. 75342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/33, 174/8408 is 75342.
LCM(866/33, 174/8408) = 75342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/33,174/8408
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 866,174
Least Common Multiple of Numerators i.e. LCM of 866,174 is 75342.
GCF of Denominators means GCF of 33,8408 as per the given fractions.
GCF of 33,8408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,174
2 | 866, 174 |
433, 87 |
∴ So the LCM of the given numbers is 2 x 433 x 87 = 75342
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 866,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,174) x common factors =2 x 1 = 2
LCM(866,174) = ( 866 × 174 ) / 2
LCM(866,174) = 150684 / 2
LCM(866,174) = 75342
Lets's calculate GCF of 33,8408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75342/1
Therefore the LCM of Fractions 866/33,174/8408 is 75342
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 8408
List of positive integer factors of 8408 that divides 8408 without a remainder.
1,2,4,8,1051,2102,4204,8408
Greatest Common Factor
We found the factors 33,8408 . The biggest common factor number is the GCF number.
So the greatest common factor 33,8408 is 1.
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 866/33, 174/8408?
Answer: LCM of Numerators as per given numbers 866/33, 174/8408 is
LCM of Numerators i.e. for 866,174 is 75342
GCF of denominators i.e. for 33,8408 is 1.
Thus, LCM of Fractions is 75342.Finally, LCM of Fractions for 866/33, 174/8408 is 75342.