Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/765, 9693/3329 quickly i.e. 96930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/765, 9693/3329 is 96930.
LCM(90/765, 9693/3329) = 96930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/765,9693/3329
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 90,9693
Least Common Multiple of Numerators i.e. LCM of 90,9693 is 96930.
GCF of Denominators means GCF of 765,3329 as per the given fractions.
GCF of 765,3329 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,9693
3 | 90, 9693 |
3 | 30, 3231 |
10, 1077 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 1077 = 96930
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 90,9693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,9693) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(90,9693) x common factors =9 x 1 = 9
LCM(90,9693) = ( 90 × 9693 ) / 9
LCM(90,9693) = 872370 / 9
LCM(90,9693) = 96930
Lets's calculate GCF of 765,3329
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96930/1
Therefore the LCM of Fractions 90/765,9693/3329 is 96930
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 3329
List of positive integer factors of 3329 that divides 3329 without a remainder.
1,3329
Greatest Common Factor
We found the factors 765,3329 . The biggest common factor number is the GCF number.
So the greatest common factor 765,3329 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 90/765, 9693/3329?
Answer: LCM of Numerators as per given numbers 90/765, 9693/3329 is
LCM of Numerators i.e. for 90,9693 is 96930
GCF of denominators i.e. for 765,3329 is 1.
Thus, LCM of Fractions is 96930.Finally, LCM of Fractions for 90/765, 9693/3329 is 96930.