Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/816, 8626/7590 quickly i.e. 125077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/816, 8626/7590 is 125077.
LCM(87/816, 8626/7590) = 125077
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/816,8626/7590
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 87,8626
Least Common Multiple of Numerators i.e. LCM of 87,8626 is 750462.
GCF of Denominators means GCF of 816,7590 as per the given fractions.
GCF of 816,7590 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,8626
Given numbers has no common factors except 1. So, there LCM is their product i.e 750462
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 87,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,8626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,8626) x common factors =1 x 1 = 1
LCM(87,8626) = ( 87 × 8626 ) / 1
LCM(87,8626) = 750462 / 1
LCM(87,8626) = 750462
Lets's calculate GCF of 816,7590
2 | 816, 7590 |
3 | 408, 3795 |
136, 1265 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750462/6
Therefore the LCM of Fractions 87/816,8626/7590 is 125077
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 7590
List of positive integer factors of 7590 that divides 7590 without a remainder.
1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors 816,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 816,7590 is 6.
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 87/816, 8626/7590?
Answer: LCM of Numerators as per given numbers 87/816, 8626/7590 is
LCM of Numerators i.e. for 87,8626 is 750462
GCF of denominators i.e. for 816,7590 is 6.
Thus, LCM of Fractions is 125077.Finally, LCM of Fractions for 87/816, 8626/7590 is 125077.