Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1900/85, 8613/108 quickly i.e. 16364700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1900/85, 8613/108 is 16364700.
LCM(1900/85, 8613/108) = 16364700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1900/85,8613/108
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 1900,8613
Least Common Multiple of Numerators i.e. LCM of 1900,8613 is 16364700.
GCF of Denominators means GCF of 85,108 as per the given fractions.
GCF of 85,108 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1900,8613
Given numbers has no common factors except 1. So, there LCM is their product i.e 16364700
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 1900,8613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1900,8613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1900,8613) x common factors =1 x 1 = 1
LCM(1900,8613) = ( 1900 × 8613 ) / 1
LCM(1900,8613) = 16364700 / 1
LCM(1900,8613) = 16364700
Lets's calculate GCF of 85,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16364700/1
Therefore the LCM of Fractions 1900/85,8613/108 is 16364700
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 85,108 . The biggest common factor number is the GCF number.
So the greatest common factor 85,108 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 1900/85, 8613/108?
Answer: LCM of Numerators as per given numbers 1900/85, 8613/108 is
LCM of Numerators i.e. for 1900,8613 is 16364700
GCF of denominators i.e. for 85,108 is 1.
Thus, LCM of Fractions is 16364700.Finally, LCM of Fractions for 1900/85, 8613/108 is 16364700.