Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/857, 1650/6037 quickly i.e. 21450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/857, 1650/6037 is 21450.
LCM(13/857, 1650/6037) = 21450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/857,1650/6037
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 13,1650
Least Common Multiple of Numerators i.e. LCM of 13,1650 is 21450.
GCF of Denominators means GCF of 857,6037 as per the given fractions.
GCF of 857,6037 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,1650
Given numbers has no common factors except 1. So, there LCM is their product i.e 21450
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 13,1650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,1650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,1650) x common factors =1 x 1 = 1
LCM(13,1650) = ( 13 × 1650 ) / 1
LCM(13,1650) = 21450 / 1
LCM(13,1650) = 21450
Lets's calculate GCF of 857,6037
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21450/1
Therefore the LCM of Fractions 13/857,1650/6037 is 21450
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 6037
List of positive integer factors of 6037 that divides 6037 without a remainder.
1,6037
Greatest Common Factor
We found the factors 857,6037 . The biggest common factor number is the GCF number.
So the greatest common factor 857,6037 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 13/857, 1650/6037?
Answer: LCM of Numerators as per given numbers 13/857, 1650/6037 is
LCM of Numerators i.e. for 13,1650 is 21450
GCF of denominators i.e. for 857,6037 is 1.
Thus, LCM of Fractions is 21450.Finally, LCM of Fractions for 13/857, 1650/6037 is 21450.