Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9452/611, 8442/5495 quickly i.e. 39896892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9452/611, 8442/5495 is 39896892.
LCM(9452/611, 8442/5495) = 39896892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9452/611,8442/5495
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 9452,8442
Least Common Multiple of Numerators i.e. LCM of 9452,8442 is 39896892.
GCF of Denominators means GCF of 611,5495 as per the given fractions.
GCF of 611,5495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9452,8442
2 | 9452, 8442 |
4726, 4221 |
∴ So the LCM of the given numbers is 2 x 4726 x 4221 = 39896892
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 9452,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9452,8442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9452,8442) x common factors =2 x 1 = 2
LCM(9452,8442) = ( 9452 × 8442 ) / 2
LCM(9452,8442) = 79793784 / 2
LCM(9452,8442) = 39896892
Lets's calculate GCF of 611,5495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39896892/1
Therefore the LCM of Fractions 9452/611,8442/5495 is 39896892
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 5495
List of positive integer factors of 5495 that divides 5495 without a remainder.
1,5,7,35,157,785,1099,5495
Greatest Common Factor
We found the factors 611,5495 . The biggest common factor number is the GCF number.
So the greatest common factor 611,5495 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 9452/611, 8442/5495?
Answer: LCM of Numerators as per given numbers 9452/611, 8442/5495 is
LCM of Numerators i.e. for 9452,8442 is 39896892
GCF of denominators i.e. for 611,5495 is 1.
Thus, LCM of Fractions is 39896892.Finally, LCM of Fractions for 9452/611, 8442/5495 is 39896892.