Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/14, 669/18, 460/256 quickly i.e. 2000310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/14, 669/18, 460/256 is 2000310.
LCM(13/14, 669/18, 460/256) = 2000310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/14,669/18,460/256
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 13,669,460
Least Common Multiple of Numerators i.e. LCM of 13,669,460 is 4000620.
GCF of Denominators means GCF of 14,18,256 as per the given fractions.
GCF of 14,18,256 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,669,460
Given numbers has no common factors except 1. So, there LCM is their product i.e 4000620
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 13,669,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,669,460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,669,460) x common factors =1 x 1 = 1
LCM(13,669,460) = ( 13 × 669 × 460 ) / 1
LCM(13,669,460) = 4000620 / 1
LCM(13,669,460) = 4000620
Lets's calculate GCF of 14,18,256
2 | 14, 18, 256 |
7, 9, 128 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4000620/2
Therefore the LCM of Fractions 13/14,669/18,460/256 is 2000310
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 14,18,256 . The biggest common factor number is the GCF number.
So the greatest common factor 14,18,256 is 2.
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 13/14, 669/18, 460/256?
Answer: LCM of Numerators as per given numbers 13/14, 669/18, 460/256 is
LCM of Numerators i.e. for 13,669,460 is 4000620
GCF of denominators i.e. for 14,18,256 is 2.
Thus, LCM of Fractions is 2000310.Finally, LCM of Fractions for 13/14, 669/18, 460/256 is 2000310.