Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/466, 2346/5157 quickly i.e. 68034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/466, 2346/5157 is 68034.
LCM(58/466, 2346/5157) = 68034
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/466,2346/5157
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 58,2346
Least Common Multiple of Numerators i.e. LCM of 58,2346 is 68034.
GCF of Denominators means GCF of 466,5157 as per the given fractions.
GCF of 466,5157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,2346
2 | 58, 2346 |
29, 1173 |
∴ So the LCM of the given numbers is 2 x 29 x 1173 = 68034
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 58,2346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,2346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,2346) x common factors =2 x 1 = 2
LCM(58,2346) = ( 58 × 2346 ) / 2
LCM(58,2346) = 136068 / 2
LCM(58,2346) = 68034
Lets's calculate GCF of 466,5157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68034/1
Therefore the LCM of Fractions 58/466,2346/5157 is 68034
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 5157
List of positive integer factors of 5157 that divides 5157 without a remainder.
1,3,9,27,191,573,1719,5157
Greatest Common Factor
We found the factors 466,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 466,5157 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 58/466, 2346/5157?
Answer: LCM of Numerators as per given numbers 58/466, 2346/5157 is
LCM of Numerators i.e. for 58,2346 is 68034
GCF of denominators i.e. for 466,5157 is 1.
Thus, LCM of Fractions is 68034.Finally, LCM of Fractions for 58/466, 2346/5157 is 68034.