Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/435, 2171/7868 quickly i.e. 36907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/435, 2171/7868 is 36907.
LCM(17/435, 2171/7868) = 36907
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/435,2171/7868
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 17,2171
Least Common Multiple of Numerators i.e. LCM of 17,2171 is 36907.
GCF of Denominators means GCF of 435,7868 as per the given fractions.
GCF of 435,7868 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,2171
Given numbers has no common factors except 1. So, there LCM is their product i.e 36907
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 17,2171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,2171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,2171) x common factors =1 x 1 = 1
LCM(17,2171) = ( 17 × 2171 ) / 1
LCM(17,2171) = 36907 / 1
LCM(17,2171) = 36907
Lets's calculate GCF of 435,7868
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36907/1
Therefore the LCM of Fractions 17/435,2171/7868 is 36907
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 7868
List of positive integer factors of 7868 that divides 7868 without a remainder.
1,2,4,7,14,28,281,562,1124,1967,3934,7868
Greatest Common Factor
We found the factors 435,7868 . The biggest common factor number is the GCF number.
So the greatest common factor 435,7868 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 17/435, 2171/7868?
Answer: LCM of Numerators as per given numbers 17/435, 2171/7868 is
LCM of Numerators i.e. for 17,2171 is 36907
GCF of denominators i.e. for 435,7868 is 1.
Thus, LCM of Fractions is 36907.Finally, LCM of Fractions for 17/435, 2171/7868 is 36907.