Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2843/928, 5485/6608 quickly i.e. 15593855/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2843/928, 5485/6608 is 15593855/16.
LCM(2843/928, 5485/6608) = 15593855/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2843/928,5485/6608
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 2843,5485
Least Common Multiple of Numerators i.e. LCM of 2843,5485 is 15593855.
GCF of Denominators means GCF of 928,6608 as per the given fractions.
GCF of 928,6608 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2843,5485
Given numbers has no common factors except 1. So, there LCM is their product i.e 15593855
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 2843,5485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2843,5485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2843,5485) x common factors =1 x 1 = 1
LCM(2843,5485) = ( 2843 × 5485 ) / 1
LCM(2843,5485) = 15593855 / 1
LCM(2843,5485) = 15593855
Lets's calculate GCF of 928,6608
2 | 928, 6608 |
2 | 464, 3304 |
2 | 232, 1652 |
2 | 116, 826 |
58, 413 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15593855/16
Therefore the LCM of Fractions 2843/928,5485/6608 is 15593855/16
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 6608
List of positive integer factors of 6608 that divides 6608 without a remainder.
1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Greatest Common Factor
We found the factors 928,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 928,6608 is 16.
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 2843/928, 5485/6608?
Answer: LCM of Numerators as per given numbers 2843/928, 5485/6608 is
LCM of Numerators i.e. for 2843,5485 is 15593855
GCF of denominators i.e. for 928,6608 is 16.
Thus, LCM of Fractions is 15593855/16.Finally, LCM of Fractions for 2843/928, 5485/6608 is 15593855/16.