Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4148/899, 8852/5246 quickly i.e. 9179524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4148/899, 8852/5246 is 9179524.
LCM(4148/899, 8852/5246) = 9179524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4148/899,8852/5246
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 4148,8852
Least Common Multiple of Numerators i.e. LCM of 4148,8852 is 9179524.
GCF of Denominators means GCF of 899,5246 as per the given fractions.
GCF of 899,5246 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4148,8852
2 | 4148, 8852 |
2 | 2074, 4426 |
1037, 2213 |
∴ So the LCM of the given numbers is 2 x 2 x 1037 x 2213 = 9179524
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 4148,8852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4148,8852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4148,8852) x common factors =4 x 1 = 4
LCM(4148,8852) = ( 4148 × 8852 ) / 4
LCM(4148,8852) = 36718096 / 4
LCM(4148,8852) = 9179524
Lets's calculate GCF of 899,5246
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9179524/1
Therefore the LCM of Fractions 4148/899,8852/5246 is 9179524
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 5246
List of positive integer factors of 5246 that divides 5246 without a remainder.
1,2,43,61,86,122,2623,5246
Greatest Common Factor
We found the factors 899,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 899,5246 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 4148/899, 8852/5246?
Answer: LCM of Numerators as per given numbers 4148/899, 8852/5246 is
LCM of Numerators i.e. for 4148,8852 is 9179524
GCF of denominators i.e. for 899,5246 is 1.
Thus, LCM of Fractions is 9179524.Finally, LCM of Fractions for 4148/899, 8852/5246 is 9179524.