Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/724, 65/712 quickly i.e. 1105/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/724, 65/712 is 1105/4.
LCM(17/724, 65/712) = 1105/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/724,65/712
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 17,65
Least Common Multiple of Numerators i.e. LCM of 17,65 is 1105.
GCF of Denominators means GCF of 724,712 as per the given fractions.
GCF of 724,712 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,65
Given numbers has no common factors except 1. So, there LCM is their product i.e 1105
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 17,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,65) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,65) x common factors =1 x 1 = 1
LCM(17,65) = ( 17 × 65 ) / 1
LCM(17,65) = 1105 / 1
LCM(17,65) = 1105
Lets's calculate GCF of 724,712
2 | 724, 712 |
2 | 362, 356 |
181, 178 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105/4
Therefore the LCM of Fractions 17/724,65/712 is 1105/4
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 724,712 . The biggest common factor number is the GCF number.
So the greatest common factor 724,712 is 4.
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 17/724, 65/712?
Answer: LCM of Numerators as per given numbers 17/724, 65/712 is
LCM of Numerators i.e. for 17,65 is 1105
GCF of denominators i.e. for 724,712 is 4.
Thus, LCM of Fractions is 1105/4.Finally, LCM of Fractions for 17/724, 65/712 is 1105/4.