Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5536/790, 5975/640 quickly i.e. 3307760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5536/790, 5975/640 is 3307760.
LCM(5536/790, 5975/640) = 3307760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5536/790,5975/640
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 5536,5975
Least Common Multiple of Numerators i.e. LCM of 5536,5975 is 33077600.
GCF of Denominators means GCF of 790,640 as per the given fractions.
GCF of 790,640 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5536,5975
Given numbers has no common factors except 1. So, there LCM is their product i.e 33077600
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 5536,5975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5536,5975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5536,5975) x common factors =1 x 1 = 1
LCM(5536,5975) = ( 5536 × 5975 ) / 1
LCM(5536,5975) = 33077600 / 1
LCM(5536,5975) = 33077600
Lets's calculate GCF of 790,640
2 | 790, 640 |
5 | 395, 320 |
79, 64 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33077600/10
Therefore the LCM of Fractions 5536/790,5975/640 is 3307760
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 790,640 . The biggest common factor number is the GCF number.
So the greatest common factor 790,640 is 10.
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 5536/790, 5975/640?
Answer: LCM of Numerators as per given numbers 5536/790, 5975/640 is
LCM of Numerators i.e. for 5536,5975 is 33077600
GCF of denominators i.e. for 790,640 is 10.
Thus, LCM of Fractions is 3307760.Finally, LCM of Fractions for 5536/790, 5975/640 is 3307760.