Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/17, 59/38, 39/42, 48/458 quickly i.e. 625872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/17, 59/38, 39/42, 48/458 is 625872.
LCM(34/17, 59/38, 39/42, 48/458) = 625872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/17,59/38,39/42,48/458
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 34,59,39,48
Least Common Multiple of Numerators i.e. LCM of 34,59,39,48 is 625872.
GCF of Denominators means GCF of 17,38,42,458 as per the given fractions.
GCF of 17,38,42,458 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,59,39,48
2 | 34, 59, 39, 48 |
3 | 17, 59, 39, 24 |
17, 59, 13, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 59 x 13 x 8 = 625872
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 34,59,39,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,59,39,48) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(34,59,39,48) x common factors =1 x 6 = 6
LCM(34,59,39,48) = ( 34 × 59 × 39 × 48 ) / 6
LCM(34,59,39,48) = 3755232 / 6
LCM(34,59,39,48) = 625872
Lets's calculate GCF of 17,38,42,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 625872/1
Therefore the LCM of Fractions 34/17,59/38,39/42,48/458 is 625872
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 17,38,42,458 . The biggest common factor number is the GCF number.
So the greatest common factor 17,38,42,458 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 34/17, 59/38, 39/42, 48/458?
Answer: LCM of Numerators as per given numbers 34/17, 59/38, 39/42, 48/458 is
LCM of Numerators i.e. for 34,59,39,48 is 625872
GCF of denominators i.e. for 17,38,42,458 is 1.
Thus, LCM of Fractions is 625872.Finally, LCM of Fractions for 34/17, 59/38, 39/42, 48/458 is 625872.