Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5280/717, 8995/5007 quickly i.e. 3166240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5280/717, 8995/5007 is 3166240.
LCM(5280/717, 8995/5007) = 3166240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5280/717,8995/5007
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 5280,8995
Least Common Multiple of Numerators i.e. LCM of 5280,8995 is 9498720.
GCF of Denominators means GCF of 717,5007 as per the given fractions.
GCF of 717,5007 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5280,8995
5 | 5280, 8995 |
1056, 1799 |
∴ So the LCM of the given numbers is 5 x 1056 x 1799 = 9498720
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 5280,8995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5280,8995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(5280,8995) x common factors =5 x 1 = 5
LCM(5280,8995) = ( 5280 × 8995 ) / 5
LCM(5280,8995) = 47493600 / 5
LCM(5280,8995) = 9498720
Lets's calculate GCF of 717,5007
3 | 717, 5007 |
239, 1669 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9498720/3
Therefore the LCM of Fractions 5280/717,8995/5007 is 3166240
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 5007
List of positive integer factors of 5007 that divides 5007 without a remainder.
1,3,1669,5007
Greatest Common Factor
We found the factors 717,5007 . The biggest common factor number is the GCF number.
So the greatest common factor 717,5007 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 5280/717, 8995/5007?
Answer: LCM of Numerators as per given numbers 5280/717, 8995/5007 is
LCM of Numerators i.e. for 5280,8995 is 9498720
GCF of denominators i.e. for 717,5007 is 3.
Thus, LCM of Fractions is 3166240.Finally, LCM of Fractions for 5280/717, 8995/5007 is 3166240.