Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5036/416, 8928/3245 quickly i.e. 11240352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5036/416, 8928/3245 is 11240352.
LCM(5036/416, 8928/3245) = 11240352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5036/416,8928/3245
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 5036,8928
Least Common Multiple of Numerators i.e. LCM of 5036,8928 is 11240352.
GCF of Denominators means GCF of 416,3245 as per the given fractions.
GCF of 416,3245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5036,8928
2 | 5036, 8928 |
2 | 2518, 4464 |
1259, 2232 |
∴ So the LCM of the given numbers is 2 x 2 x 1259 x 2232 = 11240352
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 5036,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5036,8928) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(5036,8928) x common factors =4 x 1 = 4
LCM(5036,8928) = ( 5036 × 8928 ) / 4
LCM(5036,8928) = 44961408 / 4
LCM(5036,8928) = 11240352
Lets's calculate GCF of 416,3245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11240352/1
Therefore the LCM of Fractions 5036/416,8928/3245 is 11240352
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 3245
List of positive integer factors of 3245 that divides 3245 without a remainder.
1,5,11,55,59,295,649,3245
Greatest Common Factor
We found the factors 416,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 416,3245 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 5036/416, 8928/3245?
Answer: LCM of Numerators as per given numbers 5036/416, 8928/3245 is
LCM of Numerators i.e. for 5036,8928 is 11240352
GCF of denominators i.e. for 416,3245 is 1.
Thus, LCM of Fractions is 11240352.Finally, LCM of Fractions for 5036/416, 8928/3245 is 11240352.