Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/98, 496/43, 741/183 quickly i.e. 72404592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/98, 496/43, 741/183 is 72404592.
LCM(197/98, 496/43, 741/183) = 72404592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/98,496/43,741/183
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 197,496,741
Least Common Multiple of Numerators i.e. LCM of 197,496,741 is 72404592.
GCF of Denominators means GCF of 98,43,183 as per the given fractions.
GCF of 98,43,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,496,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 72404592
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 197,496,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,496,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,496,741) x common factors =1 x 1 = 1
LCM(197,496,741) = ( 197 × 496 × 741 ) / 1
LCM(197,496,741) = 72404592 / 1
LCM(197,496,741) = 72404592
Lets's calculate GCF of 98,43,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72404592/1
Therefore the LCM of Fractions 197/98,496/43,741/183 is 72404592
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 98,43,183 . The biggest common factor number is the GCF number.
So the greatest common factor 98,43,183 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 197/98, 496/43, 741/183?
Answer: LCM of Numerators as per given numbers 197/98, 496/43, 741/183 is
LCM of Numerators i.e. for 197,496,741 is 72404592
GCF of denominators i.e. for 98,43,183 is 1.
Thus, LCM of Fractions is 72404592.Finally, LCM of Fractions for 197/98, 496/43, 741/183 is 72404592.