Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6196/592, 9537/7152 quickly i.e. 59091252/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6196/592, 9537/7152 is 59091252/16.
LCM(6196/592, 9537/7152) = 59091252/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6196/592,9537/7152
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 6196,9537
Least Common Multiple of Numerators i.e. LCM of 6196,9537 is 59091252.
GCF of Denominators means GCF of 592,7152 as per the given fractions.
GCF of 592,7152 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6196,9537
Given numbers has no common factors except 1. So, there LCM is their product i.e 59091252
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 6196,9537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6196,9537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6196,9537) x common factors =1 x 1 = 1
LCM(6196,9537) = ( 6196 × 9537 ) / 1
LCM(6196,9537) = 59091252 / 1
LCM(6196,9537) = 59091252
Lets's calculate GCF of 592,7152
2 | 592, 7152 |
2 | 296, 3576 |
2 | 148, 1788 |
2 | 74, 894 |
37, 447 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59091252/16
Therefore the LCM of Fractions 6196/592,9537/7152 is 59091252/16
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 7152
List of positive integer factors of 7152 that divides 7152 without a remainder.
1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152
Greatest Common Factor
We found the factors 592,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 592,7152 is 16.
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 6196/592, 9537/7152?
Answer: LCM of Numerators as per given numbers 6196/592, 9537/7152 is
LCM of Numerators i.e. for 6196,9537 is 59091252
GCF of denominators i.e. for 592,7152 is 16.
Thus, LCM of Fractions is 59091252/16.Finally, LCM of Fractions for 6196/592, 9537/7152 is 59091252/16.