Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 941/128, 186/442 quickly i.e. 87513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 941/128, 186/442 is 87513.
LCM(941/128, 186/442) = 87513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 941/128,186/442
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 941,186
Least Common Multiple of Numerators i.e. LCM of 941,186 is 175026.
GCF of Denominators means GCF of 128,442 as per the given fractions.
GCF of 128,442 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 941,186
Given numbers has no common factors except 1. So, there LCM is their product i.e 175026
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 941,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,186) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,186) x common factors =1 x 1 = 1
LCM(941,186) = ( 941 × 186 ) / 1
LCM(941,186) = 175026 / 1
LCM(941,186) = 175026
Lets's calculate GCF of 128,442
2 | 128, 442 |
64, 221 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175026/2
Therefore the LCM of Fractions 941/128,186/442 is 87513
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 128,442 . The biggest common factor number is the GCF number.
So the greatest common factor 128,442 is 2.
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 941/128, 186/442?
Answer: LCM of Numerators as per given numbers 941/128, 186/442 is
LCM of Numerators i.e. for 941,186 is 175026
GCF of denominators i.e. for 128,442 is 2.
Thus, LCM of Fractions is 87513.Finally, LCM of Fractions for 941/128, 186/442 is 87513.