Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 272/696, 9999/6065 quickly i.e. 2719728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 272/696, 9999/6065 is 2719728.
LCM(272/696, 9999/6065) = 2719728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 272/696,9999/6065
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 272,9999
Least Common Multiple of Numerators i.e. LCM of 272,9999 is 2719728.
GCF of Denominators means GCF of 696,6065 as per the given fractions.
GCF of 696,6065 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 272,9999
Given numbers has no common factors except 1. So, there LCM is their product i.e 2719728
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 272,9999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,9999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(272,9999) x common factors =1 x 1 = 1
LCM(272,9999) = ( 272 × 9999 ) / 1
LCM(272,9999) = 2719728 / 1
LCM(272,9999) = 2719728
Lets's calculate GCF of 696,6065
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2719728/1
Therefore the LCM of Fractions 272/696,9999/6065 is 2719728
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 6065
List of positive integer factors of 6065 that divides 6065 without a remainder.
1,5,1213,6065
Greatest Common Factor
We found the factors 696,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 696,6065 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 272/696, 9999/6065?
Answer: LCM of Numerators as per given numbers 272/696, 9999/6065 is
LCM of Numerators i.e. for 272,9999 is 2719728
GCF of denominators i.e. for 696,6065 is 1.
Thus, LCM of Fractions is 2719728.Finally, LCM of Fractions for 272/696, 9999/6065 is 2719728.