Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/53, 913/67, 286/15 quickly i.e. 23738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/53, 913/67, 286/15 is 23738.
LCM(1/53, 913/67, 286/15) = 23738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/53,913/67,286/15
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 1,913,286
Least Common Multiple of Numerators i.e. LCM of 1,913,286 is 23738.
GCF of Denominators means GCF of 53,67,15 as per the given fractions.
GCF of 53,67,15 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,913,286
11 | 1, 913, 286 |
1, 83, 26 |
∴ So the LCM of the given numbers is 11 x 1 x 83 x 26 = 23738
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 1,913,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,913,286) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(1,913,286) x common factors =1 x 11 = 11
LCM(1,913,286) = ( 1 × 913 × 286 ) / 11
LCM(1,913,286) = 261118 / 11
LCM(1,913,286) = 23738
Lets's calculate GCF of 53,67,15
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23738/1
Therefore the LCM of Fractions 1/53,913/67,286/15 is 23738
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 53,67,15 . The biggest common factor number is the GCF number.
So the greatest common factor 53,67,15 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 1/53, 913/67, 286/15?
Answer: LCM of Numerators as per given numbers 1/53, 913/67, 286/15 is
LCM of Numerators i.e. for 1,913,286 is 23738
GCF of denominators i.e. for 53,67,15 is 1.
Thus, LCM of Fractions is 23738.Finally, LCM of Fractions for 1/53, 913/67, 286/15 is 23738.