Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/334, 9856/766 quickly i.e. 1946560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/334, 9856/766 is 1946560.
LCM(395/334, 9856/766) = 1946560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/334,9856/766
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 395,9856
Least Common Multiple of Numerators i.e. LCM of 395,9856 is 3893120.
GCF of Denominators means GCF of 334,766 as per the given fractions.
GCF of 334,766 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,9856
Given numbers has no common factors except 1. So, there LCM is their product i.e 3893120
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 395,9856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,9856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,9856) x common factors =1 x 1 = 1
LCM(395,9856) = ( 395 × 9856 ) / 1
LCM(395,9856) = 3893120 / 1
LCM(395,9856) = 3893120
Lets's calculate GCF of 334,766
2 | 334, 766 |
167, 383 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3893120/2
Therefore the LCM of Fractions 395/334,9856/766 is 1946560
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 334,766 . The biggest common factor number is the GCF number.
So the greatest common factor 334,766 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 395/334, 9856/766?
Answer: LCM of Numerators as per given numbers 395/334, 9856/766 is
LCM of Numerators i.e. for 395,9856 is 3893120
GCF of denominators i.e. for 334,766 is 2.
Thus, LCM of Fractions is 1946560.Finally, LCM of Fractions for 395/334, 9856/766 is 1946560.