Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/16, 177/2938 quickly i.e. 29559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/16, 177/2938 is 29559.
LCM(334/16, 177/2938) = 29559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/16,177/2938
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 334,177
Least Common Multiple of Numerators i.e. LCM of 334,177 is 59118.
GCF of Denominators means GCF of 16,2938 as per the given fractions.
GCF of 16,2938 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 59118
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 334,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,177) x common factors =1 x 1 = 1
LCM(334,177) = ( 334 × 177 ) / 1
LCM(334,177) = 59118 / 1
LCM(334,177) = 59118
Lets's calculate GCF of 16,2938
2 | 16, 2938 |
8, 1469 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59118/2
Therefore the LCM of Fractions 334/16,177/2938 is 29559
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 2938
List of positive integer factors of 2938 that divides 2938 without a remainder.
1,2,13,26,113,226,1469,2938
Greatest Common Factor
We found the factors 16,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2938 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 334/16, 177/2938?
Answer: LCM of Numerators as per given numbers 334/16, 177/2938 is
LCM of Numerators i.e. for 334,177 is 59118
GCF of denominators i.e. for 16,2938 is 2.
Thus, LCM of Fractions is 29559.Finally, LCM of Fractions for 334/16, 177/2938 is 29559.