Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8525/284, 9258/4475 quickly i.e. 78924450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8525/284, 9258/4475 is 78924450.
LCM(8525/284, 9258/4475) = 78924450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8525/284,9258/4475
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 8525,9258
Least Common Multiple of Numerators i.e. LCM of 8525,9258 is 78924450.
GCF of Denominators means GCF of 284,4475 as per the given fractions.
GCF of 284,4475 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8525,9258
Given numbers has no common factors except 1. So, there LCM is their product i.e 78924450
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 8525,9258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8525,9258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8525,9258) x common factors =1 x 1 = 1
LCM(8525,9258) = ( 8525 × 9258 ) / 1
LCM(8525,9258) = 78924450 / 1
LCM(8525,9258) = 78924450
Lets's calculate GCF of 284,4475
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78924450/1
Therefore the LCM of Fractions 8525/284,9258/4475 is 78924450
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 4475
List of positive integer factors of 4475 that divides 4475 without a remainder.
1,5,25,179,895,4475
Greatest Common Factor
We found the factors 284,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 284,4475 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 8525/284, 9258/4475?
Answer: LCM of Numerators as per given numbers 8525/284, 9258/4475 is
LCM of Numerators i.e. for 8525,9258 is 78924450
GCF of denominators i.e. for 284,4475 is 1.
Thus, LCM of Fractions is 78924450.Finally, LCM of Fractions for 8525/284, 9258/4475 is 78924450.