Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 269/16, 917/3256 quickly i.e. 246673/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 269/16, 917/3256 is 246673/8.
LCM(269/16, 917/3256) = 246673/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 269/16,917/3256
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 269,917
Least Common Multiple of Numerators i.e. LCM of 269,917 is 246673.
GCF of Denominators means GCF of 16,3256 as per the given fractions.
GCF of 16,3256 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 269,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 246673
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 269,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,917) x common factors =1 x 1 = 1
LCM(269,917) = ( 269 × 917 ) / 1
LCM(269,917) = 246673 / 1
LCM(269,917) = 246673
Lets's calculate GCF of 16,3256
2 | 16, 3256 |
2 | 8, 1628 |
2 | 4, 814 |
2, 407 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246673/8
Therefore the LCM of Fractions 269/16,917/3256 is 246673/8
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 3256
List of positive integer factors of 3256 that divides 3256 without a remainder.
1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Greatest Common Factor
We found the factors 16,3256 . The biggest common factor number is the GCF number.
So the greatest common factor 16,3256 is 8.
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 269/16, 917/3256?
Answer: LCM of Numerators as per given numbers 269/16, 917/3256 is
LCM of Numerators i.e. for 269,917 is 246673
GCF of denominators i.e. for 16,3256 is 8.
Thus, LCM of Fractions is 246673/8.Finally, LCM of Fractions for 269/16, 917/3256 is 246673/8.