Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/523, 4685/9099 quickly i.e. 407595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/523, 4685/9099 is 407595.
LCM(87/523, 4685/9099) = 407595
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/523,4685/9099
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 87,4685
Least Common Multiple of Numerators i.e. LCM of 87,4685 is 407595.
GCF of Denominators means GCF of 523,9099 as per the given fractions.
GCF of 523,9099 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,4685
Given numbers has no common factors except 1. So, there LCM is their product i.e 407595
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 87,4685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,4685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,4685) x common factors =1 x 1 = 1
LCM(87,4685) = ( 87 × 4685 ) / 1
LCM(87,4685) = 407595 / 1
LCM(87,4685) = 407595
Lets's calculate GCF of 523,9099
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407595/1
Therefore the LCM of Fractions 87/523,4685/9099 is 407595
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 9099
List of positive integer factors of 9099 that divides 9099 without a remainder.
1,3,9,27,337,1011,3033,9099
Greatest Common Factor
We found the factors 523,9099 . The biggest common factor number is the GCF number.
So the greatest common factor 523,9099 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 87/523, 4685/9099?
Answer: LCM of Numerators as per given numbers 87/523, 4685/9099 is
LCM of Numerators i.e. for 87,4685 is 407595
GCF of denominators i.e. for 523,9099 is 1.
Thus, LCM of Fractions is 407595.Finally, LCM of Fractions for 87/523, 4685/9099 is 407595.