Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/43, 58/15, 600/455 quickly i.e. 17400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/43, 58/15, 600/455 is 17400.
LCM(10/43, 58/15, 600/455) = 17400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/43,58/15,600/455
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 10,58,600
Least Common Multiple of Numerators i.e. LCM of 10,58,600 is 17400.
GCF of Denominators means GCF of 43,15,455 as per the given fractions.
GCF of 43,15,455 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,58,600
2 | 10, 58, 600 |
5 | 5, 29, 300 |
1, 29, 60 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 29 x 60 = 17400
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 10,58,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,58,600) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(10,58,600) x common factors =2 x 10 = 20
LCM(10,58,600) = ( 10 × 58 × 600 ) / 20
LCM(10,58,600) = 348000 / 20
LCM(10,58,600) = 17400
Lets's calculate GCF of 43,15,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17400/1
Therefore the LCM of Fractions 10/43,58/15,600/455 is 17400
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 43,15,455 . The biggest common factor number is the GCF number.
So the greatest common factor 43,15,455 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 10/43, 58/15, 600/455?
Answer: LCM of Numerators as per given numbers 10/43, 58/15, 600/455 is
LCM of Numerators i.e. for 10,58,600 is 17400
GCF of denominators i.e. for 43,15,455 is 1.
Thus, LCM of Fractions is 17400.Finally, LCM of Fractions for 10/43, 58/15, 600/455 is 17400.