Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 978/734, 1717/1499 quickly i.e. 1679226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 978/734, 1717/1499 is 1679226.
LCM(978/734, 1717/1499) = 1679226
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 978/734,1717/1499
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 978,1717
Least Common Multiple of Numerators i.e. LCM of 978,1717 is 1679226.
GCF of Denominators means GCF of 734,1499 as per the given fractions.
GCF of 734,1499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 978,1717
Given numbers has no common factors except 1. So, there LCM is their product i.e 1679226
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 978,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1717) x common factors =1 x 1 = 1
LCM(978,1717) = ( 978 × 1717 ) / 1
LCM(978,1717) = 1679226 / 1
LCM(978,1717) = 1679226
Lets's calculate GCF of 734,1499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1679226/1
Therefore the LCM of Fractions 978/734,1717/1499 is 1679226
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 1499
List of positive integer factors of 1499 that divides 1499 without a remainder.
1,1499
Greatest Common Factor
We found the factors 734,1499 . The biggest common factor number is the GCF number.
So the greatest common factor 734,1499 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 978/734, 1717/1499?
Answer: LCM of Numerators as per given numbers 978/734, 1717/1499 is
LCM of Numerators i.e. for 978,1717 is 1679226
GCF of denominators i.e. for 734,1499 is 1.
Thus, LCM of Fractions is 1679226.Finally, LCM of Fractions for 978/734, 1717/1499 is 1679226.