Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6341/156, 9317/4852 quickly i.e. 59079097/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6341/156, 9317/4852 is 59079097/4.
LCM(6341/156, 9317/4852) = 59079097/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6341/156,9317/4852
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 6341,9317
Least Common Multiple of Numerators i.e. LCM of 6341,9317 is 59079097.
GCF of Denominators means GCF of 156,4852 as per the given fractions.
GCF of 156,4852 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6341,9317
Given numbers has no common factors except 1. So, there LCM is their product i.e 59079097
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 6341,9317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6341,9317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6341,9317) x common factors =1 x 1 = 1
LCM(6341,9317) = ( 6341 × 9317 ) / 1
LCM(6341,9317) = 59079097 / 1
LCM(6341,9317) = 59079097
Lets's calculate GCF of 156,4852
2 | 156, 4852 |
2 | 78, 2426 |
39, 1213 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59079097/4
Therefore the LCM of Fractions 6341/156,9317/4852 is 59079097/4
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 4852
List of positive integer factors of 4852 that divides 4852 without a remainder.
1,2,4,1213,2426,4852
Greatest Common Factor
We found the factors 156,4852 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4852 is 4.
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 6341/156, 9317/4852?
Answer: LCM of Numerators as per given numbers 6341/156, 9317/4852 is
LCM of Numerators i.e. for 6341,9317 is 59079097
GCF of denominators i.e. for 156,4852 is 4.
Thus, LCM of Fractions is 59079097/4.Finally, LCM of Fractions for 6341/156, 9317/4852 is 59079097/4.