Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/334, 8346/4963 quickly i.e. 191958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/334, 8346/4963 is 191958.
LCM(46/334, 8346/4963) = 191958
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/334,8346/4963
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 46,8346
Least Common Multiple of Numerators i.e. LCM of 46,8346 is 191958.
GCF of Denominators means GCF of 334,4963 as per the given fractions.
GCF of 334,4963 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,8346
2 | 46, 8346 |
23, 4173 |
∴ So the LCM of the given numbers is 2 x 23 x 4173 = 191958
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 46,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,8346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,8346) x common factors =2 x 1 = 2
LCM(46,8346) = ( 46 × 8346 ) / 2
LCM(46,8346) = 383916 / 2
LCM(46,8346) = 191958
Lets's calculate GCF of 334,4963
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191958/1
Therefore the LCM of Fractions 46/334,8346/4963 is 191958
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 4963
List of positive integer factors of 4963 that divides 4963 without a remainder.
1,7,709,4963
Greatest Common Factor
We found the factors 334,4963 . The biggest common factor number is the GCF number.
So the greatest common factor 334,4963 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 46/334, 8346/4963?
Answer: LCM of Numerators as per given numbers 46/334, 8346/4963 is
LCM of Numerators i.e. for 46,8346 is 191958
GCF of denominators i.e. for 334,4963 is 1.
Thus, LCM of Fractions is 191958.Finally, LCM of Fractions for 46/334, 8346/4963 is 191958.