Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 161/917, 199/524 quickly i.e. 32039/131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 161/917, 199/524 is 32039/131.
LCM(161/917, 199/524) = 32039/131
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 161/917,199/524
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 161,199
Least Common Multiple of Numerators i.e. LCM of 161,199 is 32039.
GCF of Denominators means GCF of 917,524 as per the given fractions.
GCF of 917,524 is 131 as it is the largest common factor for these numbers.
Lets's calculate LCM of 161,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 32039
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 161,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,199) x common factors =1 x 1 = 1
LCM(161,199) = ( 161 × 199 ) / 1
LCM(161,199) = 32039 / 1
LCM(161,199) = 32039
Lets's calculate GCF of 917,524
131 | 917, 524 |
7, 4 |
∴ So the GCF of the given numbers is 131 = 131
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32039/131
Therefore the LCM of Fractions 161/917,199/524 is 32039/131
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 917,524 . The biggest common factor number is the GCF number.
So the greatest common factor 917,524 is 131.
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 161/917, 199/524?
Answer: LCM of Numerators as per given numbers 161/917, 199/524 is
LCM of Numerators i.e. for 161,199 is 32039
GCF of denominators i.e. for 917,524 is 131.
Thus, LCM of Fractions is 32039/131.Finally, LCM of Fractions for 161/917, 199/524 is 32039/131.