Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/299, 5048/5314 quickly i.e. 116104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/299, 5048/5314 is 116104.
LCM(46/299, 5048/5314) = 116104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/299,5048/5314
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 46,5048
Least Common Multiple of Numerators i.e. LCM of 46,5048 is 116104.
GCF of Denominators means GCF of 299,5314 as per the given fractions.
GCF of 299,5314 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,5048
2 | 46, 5048 |
23, 2524 |
∴ So the LCM of the given numbers is 2 x 23 x 2524 = 116104
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 46,5048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,5048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,5048) x common factors =2 x 1 = 2
LCM(46,5048) = ( 46 × 5048 ) / 2
LCM(46,5048) = 232208 / 2
LCM(46,5048) = 116104
Lets's calculate GCF of 299,5314
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116104/1
Therefore the LCM of Fractions 46/299,5048/5314 is 116104
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 5314
List of positive integer factors of 5314 that divides 5314 without a remainder.
1,2,2657,5314
Greatest Common Factor
We found the factors 299,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 299,5314 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 46/299, 5048/5314?
Answer: LCM of Numerators as per given numbers 46/299, 5048/5314 is
LCM of Numerators i.e. for 46,5048 is 116104
GCF of denominators i.e. for 299,5314 is 1.
Thus, LCM of Fractions is 116104.Finally, LCM of Fractions for 46/299, 5048/5314 is 116104.