Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/990, 8444/5708 quickly i.e. 367314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/990, 8444/5708 is 367314.
LCM(87/990, 8444/5708) = 367314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/990,8444/5708
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 87,8444
Least Common Multiple of Numerators i.e. LCM of 87,8444 is 734628.
GCF of Denominators means GCF of 990,5708 as per the given fractions.
GCF of 990,5708 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,8444
Given numbers has no common factors except 1. So, there LCM is their product i.e 734628
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 87,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,8444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,8444) x common factors =1 x 1 = 1
LCM(87,8444) = ( 87 × 8444 ) / 1
LCM(87,8444) = 734628 / 1
LCM(87,8444) = 734628
Lets's calculate GCF of 990,5708
2 | 990, 5708 |
495, 2854 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 734628/2
Therefore the LCM of Fractions 87/990,8444/5708 is 367314
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 5708
List of positive integer factors of 5708 that divides 5708 without a remainder.
1,2,4,1427,2854,5708
Greatest Common Factor
We found the factors 990,5708 . The biggest common factor number is the GCF number.
So the greatest common factor 990,5708 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 87/990, 8444/5708?
Answer: LCM of Numerators as per given numbers 87/990, 8444/5708 is
LCM of Numerators i.e. for 87,8444 is 734628
GCF of denominators i.e. for 990,5708 is 2.
Thus, LCM of Fractions is 367314.Finally, LCM of Fractions for 87/990, 8444/5708 is 367314.