Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/89, 85/98, 92/212 quickly i.e. 101660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/89, 85/98, 92/212 is 101660.
LCM(13/89, 85/98, 92/212) = 101660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/89,85/98,92/212
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 13,85,92
Least Common Multiple of Numerators i.e. LCM of 13,85,92 is 101660.
GCF of Denominators means GCF of 89,98,212 as per the given fractions.
GCF of 89,98,212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,85,92
Given numbers has no common factors except 1. So, there LCM is their product i.e 101660
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 13,85,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,85,92) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,85,92) x common factors =1 x 1 = 1
LCM(13,85,92) = ( 13 × 85 × 92 ) / 1
LCM(13,85,92) = 101660 / 1
LCM(13,85,92) = 101660
Lets's calculate GCF of 89,98,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101660/1
Therefore the LCM of Fractions 13/89,85/98,92/212 is 101660
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 89,98,212 . The biggest common factor number is the GCF number.
So the greatest common factor 89,98,212 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 13/89, 85/98, 92/212?
Answer: LCM of Numerators as per given numbers 13/89, 85/98, 92/212 is
LCM of Numerators i.e. for 13,85,92 is 101660
GCF of denominators i.e. for 89,98,212 is 1.
Thus, LCM of Fractions is 101660.Finally, LCM of Fractions for 13/89, 85/98, 92/212 is 101660.