Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5287/802, 4007/3626 quickly i.e. 21185009/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5287/802, 4007/3626 is 21185009/2.
LCM(5287/802, 4007/3626) = 21185009/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5287/802,4007/3626
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 5287,4007
Least Common Multiple of Numerators i.e. LCM of 5287,4007 is 21185009.
GCF of Denominators means GCF of 802,3626 as per the given fractions.
GCF of 802,3626 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5287,4007
Given numbers has no common factors except 1. So, there LCM is their product i.e 21185009
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 5287,4007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5287,4007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5287,4007) x common factors =1 x 1 = 1
LCM(5287,4007) = ( 5287 × 4007 ) / 1
LCM(5287,4007) = 21185009 / 1
LCM(5287,4007) = 21185009
Lets's calculate GCF of 802,3626
2 | 802, 3626 |
401, 1813 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21185009/2
Therefore the LCM of Fractions 5287/802,4007/3626 is 21185009/2
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 3626
List of positive integer factors of 3626 that divides 3626 without a remainder.
1,2,7,14,37,49,74,98,259,518,1813,3626
Greatest Common Factor
We found the factors 802,3626 . The biggest common factor number is the GCF number.
So the greatest common factor 802,3626 is 2.
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 5287/802, 4007/3626?
Answer: LCM of Numerators as per given numbers 5287/802, 4007/3626 is
LCM of Numerators i.e. for 5287,4007 is 21185009
GCF of denominators i.e. for 802,3626 is 2.
Thus, LCM of Fractions is 21185009/2.Finally, LCM of Fractions for 5287/802, 4007/3626 is 21185009/2.