Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/17, 34/33, 35/65 quickly i.e. 105910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/17, 34/33, 35/65 is 105910.
LCM(89/17, 34/33, 35/65) = 105910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/17,34/33,35/65
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 89,34,35
Least Common Multiple of Numerators i.e. LCM of 89,34,35 is 105910.
GCF of Denominators means GCF of 17,33,65 as per the given fractions.
GCF of 17,33,65 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,34,35
Given numbers has no common factors except 1. So, there LCM is their product i.e 105910
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 89,34,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,34,35) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,34,35) x common factors =1 x 1 = 1
LCM(89,34,35) = ( 89 × 34 × 35 ) / 1
LCM(89,34,35) = 105910 / 1
LCM(89,34,35) = 105910
Lets's calculate GCF of 17,33,65
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105910/1
Therefore the LCM of Fractions 89/17,34/33,35/65 is 105910
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Greatest Common Factor
We found the factors 17,33,65 . The biggest common factor number is the GCF number.
So the greatest common factor 17,33,65 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 89/17, 34/33, 35/65?
Answer: LCM of Numerators as per given numbers 89/17, 34/33, 35/65 is
LCM of Numerators i.e. for 89,34,35 is 105910
GCF of denominators i.e. for 17,33,65 is 1.
Thus, LCM of Fractions is 105910.Finally, LCM of Fractions for 89/17, 34/33, 35/65 is 105910.