Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4911/256, 6741/3698 quickly i.e. 11035017/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4911/256, 6741/3698 is 11035017/2.
LCM(4911/256, 6741/3698) = 11035017/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4911/256,6741/3698
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 4911,6741
Least Common Multiple of Numerators i.e. LCM of 4911,6741 is 11035017.
GCF of Denominators means GCF of 256,3698 as per the given fractions.
GCF of 256,3698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4911,6741
3 | 4911, 6741 |
1637, 2247 |
∴ So the LCM of the given numbers is 3 x 1637 x 2247 = 11035017
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 4911,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4911,6741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4911,6741) x common factors =3 x 1 = 3
LCM(4911,6741) = ( 4911 × 6741 ) / 3
LCM(4911,6741) = 33105051 / 3
LCM(4911,6741) = 11035017
Lets's calculate GCF of 256,3698
2 | 256, 3698 |
128, 1849 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11035017/2
Therefore the LCM of Fractions 4911/256,6741/3698 is 11035017/2
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
Factors of 3698
List of positive integer factors of 3698 that divides 3698 without a remainder.
1,2,43,86,1849,3698
Greatest Common Factor
We found the factors 256,3698 . The biggest common factor number is the GCF number.
So the greatest common factor 256,3698 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 4911/256, 6741/3698?
Answer: LCM of Numerators as per given numbers 4911/256, 6741/3698 is
LCM of Numerators i.e. for 4911,6741 is 11035017
GCF of denominators i.e. for 256,3698 is 2.
Thus, LCM of Fractions is 11035017/2.Finally, LCM of Fractions for 4911/256, 6741/3698 is 11035017/2.