Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/609, 7092/8776 quickly i.e. 205668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/609, 7092/8776 is 205668.
LCM(87/609, 7092/8776) = 205668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/609,7092/8776
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 87,7092
Least Common Multiple of Numerators i.e. LCM of 87,7092 is 205668.
GCF of Denominators means GCF of 609,8776 as per the given fractions.
GCF of 609,8776 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,7092
3 | 87, 7092 |
29, 2364 |
∴ So the LCM of the given numbers is 3 x 29 x 2364 = 205668
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 87,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,7092) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,7092) x common factors =3 x 1 = 3
LCM(87,7092) = ( 87 × 7092 ) / 3
LCM(87,7092) = 617004 / 3
LCM(87,7092) = 205668
Lets's calculate GCF of 609,8776
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205668/1
Therefore the LCM of Fractions 87/609,7092/8776 is 205668
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 8776
List of positive integer factors of 8776 that divides 8776 without a remainder.
1,2,4,8,1097,2194,4388,8776
Greatest Common Factor
We found the factors 609,8776 . The biggest common factor number is the GCF number.
So the greatest common factor 609,8776 is 1.
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 87/609, 7092/8776?
Answer: LCM of Numerators as per given numbers 87/609, 7092/8776 is
LCM of Numerators i.e. for 87,7092 is 205668
GCF of denominators i.e. for 609,8776 is 1.
Thus, LCM of Fractions is 205668.Finally, LCM of Fractions for 87/609, 7092/8776 is 205668.