Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8688/400, 3974/7024 quickly i.e. 1078941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8688/400, 3974/7024 is 1078941.
LCM(8688/400, 3974/7024) = 1078941
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8688/400,3974/7024
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 8688,3974
Least Common Multiple of Numerators i.e. LCM of 8688,3974 is 17263056.
GCF of Denominators means GCF of 400,7024 as per the given fractions.
GCF of 400,7024 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8688,3974
2 | 8688, 3974 |
4344, 1987 |
∴ So the LCM of the given numbers is 2 x 4344 x 1987 = 17263056
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 8688,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8688,3974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8688,3974) x common factors =2 x 1 = 2
LCM(8688,3974) = ( 8688 × 3974 ) / 2
LCM(8688,3974) = 34526112 / 2
LCM(8688,3974) = 17263056
Lets's calculate GCF of 400,7024
2 | 400, 7024 |
2 | 200, 3512 |
2 | 100, 1756 |
2 | 50, 878 |
25, 439 |
∴ 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 = 17263056/16
Therefore the LCM of Fractions 8688/400,3974/7024 is 1078941
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 7024
List of positive integer factors of 7024 that divides 7024 without a remainder.
1,2,4,8,16,439,878,1756,3512,7024
Greatest Common Factor
We found the factors 400,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 400,7024 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 8688/400, 3974/7024?
Answer: LCM of Numerators as per given numbers 8688/400, 3974/7024 is
LCM of Numerators i.e. for 8688,3974 is 17263056
GCF of denominators i.e. for 400,7024 is 16.
Thus, LCM of Fractions is 1078941.Finally, LCM of Fractions for 8688/400, 3974/7024 is 1078941.