Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 978/717, 617/945 quickly i.e. 201142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 978/717, 617/945 is 201142.
LCM(978/717, 617/945) = 201142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 978/717,617/945
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 978,617
Least Common Multiple of Numerators i.e. LCM of 978,617 is 603426.
GCF of Denominators means GCF of 717,945 as per the given fractions.
GCF of 717,945 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 978,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 603426
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 978,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,617) x common factors =1 x 1 = 1
LCM(978,617) = ( 978 × 617 ) / 1
LCM(978,617) = 603426 / 1
LCM(978,617) = 603426
Lets's calculate GCF of 717,945
3 | 717, 945 |
239, 315 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603426/3
Therefore the LCM of Fractions 978/717,617/945 is 201142
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 717,945 . The biggest common factor number is the GCF number.
So the greatest common factor 717,945 is 3.
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 978/717, 617/945?
Answer: LCM of Numerators as per given numbers 978/717, 617/945 is
LCM of Numerators i.e. for 978,617 is 603426
GCF of denominators i.e. for 717,945 is 3.
Thus, LCM of Fractions is 201142.Finally, LCM of Fractions for 978/717, 617/945 is 201142.