Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 717/850, 8194/412 quickly i.e. 2937549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 717/850, 8194/412 is 2937549.
LCM(717/850, 8194/412) = 2937549
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 717/850,8194/412
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 717,8194
Least Common Multiple of Numerators i.e. LCM of 717,8194 is 5875098.
GCF of Denominators means GCF of 850,412 as per the given fractions.
GCF of 850,412 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 717,8194
Given numbers has no common factors except 1. So, there LCM is their product i.e 5875098
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 717,8194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,8194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,8194) x common factors =1 x 1 = 1
LCM(717,8194) = ( 717 × 8194 ) / 1
LCM(717,8194) = 5875098 / 1
LCM(717,8194) = 5875098
Lets's calculate GCF of 850,412
2 | 850, 412 |
425, 206 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5875098/2
Therefore the LCM of Fractions 717/850,8194/412 is 2937549
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 850,412 . The biggest common factor number is the GCF number.
So the greatest common factor 850,412 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 717/850, 8194/412?
Answer: LCM of Numerators as per given numbers 717/850, 8194/412 is
LCM of Numerators i.e. for 717,8194 is 5875098
GCF of denominators i.e. for 850,412 is 2.
Thus, LCM of Fractions is 2937549.Finally, LCM of Fractions for 717/850, 8194/412 is 2937549.