Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/612, 87/338, 347/105 quickly i.e. 60378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/612, 87/338, 347/105 is 60378.
LCM(58/612, 87/338, 347/105) = 60378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/612,87/338,347/105
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 58,87,347
Least Common Multiple of Numerators i.e. LCM of 58,87,347 is 60378.
GCF of Denominators means GCF of 612,338,105 as per the given fractions.
GCF of 612,338,105 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,87,347
29 | 58, 87, 347 |
2, 3, 347 |
∴ So the LCM of the given numbers is 29 x 2 x 3 x 347 = 60378
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 58,87,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,87,347) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(58,87,347) x common factors =1 x 29 = 29
LCM(58,87,347) = ( 58 × 87 × 347 ) / 29
LCM(58,87,347) = 1750962 / 29
LCM(58,87,347) = 60378
Lets's calculate GCF of 612,338,105
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60378/1
Therefore the LCM of Fractions 58/612,87/338,347/105 is 60378
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 612,338,105 . The biggest common factor number is the GCF number.
So the greatest common factor 612,338,105 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 58/612, 87/338, 347/105?
Answer: LCM of Numerators as per given numbers 58/612, 87/338, 347/105 is
LCM of Numerators i.e. for 58,87,347 is 60378
GCF of denominators i.e. for 612,338,105 is 1.
Thus, LCM of Fractions is 60378.Finally, LCM of Fractions for 58/612, 87/338, 347/105 is 60378.