Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/475, 9553/2423 quickly i.e. 831111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/475, 9553/2423 is 831111.
LCM(87/475, 9553/2423) = 831111
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/475,9553/2423
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 87,9553
Least Common Multiple of Numerators i.e. LCM of 87,9553 is 831111.
GCF of Denominators means GCF of 475,2423 as per the given fractions.
GCF of 475,2423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,9553
Given numbers has no common factors except 1. So, there LCM is their product i.e 831111
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 87,9553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,9553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,9553) x common factors =1 x 1 = 1
LCM(87,9553) = ( 87 × 9553 ) / 1
LCM(87,9553) = 831111 / 1
LCM(87,9553) = 831111
Lets's calculate GCF of 475,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 831111/1
Therefore the LCM of Fractions 87/475,9553/2423 is 831111
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1,2423
Greatest Common Factor
We found the factors 475,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 475,2423 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 87/475, 9553/2423?
Answer: LCM of Numerators as per given numbers 87/475, 9553/2423 is
LCM of Numerators i.e. for 87,9553 is 831111
GCF of denominators i.e. for 475,2423 is 1.
Thus, LCM of Fractions is 831111.Finally, LCM of Fractions for 87/475, 9553/2423 is 831111.