Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8361/720, 7895/800 quickly i.e. 66010095/80 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8361/720, 7895/800 is 66010095/80.
LCM(8361/720, 7895/800) = 66010095/80
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8361/720,7895/800
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 8361,7895
Least Common Multiple of Numerators i.e. LCM of 8361,7895 is 66010095.
GCF of Denominators means GCF of 720,800 as per the given fractions.
GCF of 720,800 is 80 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8361,7895
Given numbers has no common factors except 1. So, there LCM is their product i.e 66010095
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 8361,7895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8361,7895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8361,7895) x common factors =1 x 1 = 1
LCM(8361,7895) = ( 8361 × 7895 ) / 1
LCM(8361,7895) = 66010095 / 1
LCM(8361,7895) = 66010095
Lets's calculate GCF of 720,800
2 | 720, 800 |
2 | 360, 400 |
2 | 180, 200 |
2 | 90, 100 |
5 | 45, 50 |
9, 10 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66010095/80
Therefore the LCM of Fractions 8361/720,7895/800 is 66010095/80
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 720,800 . The biggest common factor number is the GCF number.
So the greatest common factor 720,800 is 80.
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 8361/720, 7895/800?
Answer: LCM of Numerators as per given numbers 8361/720, 7895/800 is
LCM of Numerators i.e. for 8361,7895 is 66010095
GCF of denominators i.e. for 720,800 is 80.
Thus, LCM of Fractions is 66010095/80.Finally, LCM of Fractions for 8361/720, 7895/800 is 66010095/80.