Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8065/535, 4990/9380 quickly i.e. 1609774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8065/535, 4990/9380 is 1609774.
LCM(8065/535, 4990/9380) = 1609774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8065/535,4990/9380
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 8065,4990
Least Common Multiple of Numerators i.e. LCM of 8065,4990 is 8048870.
GCF of Denominators means GCF of 535,9380 as per the given fractions.
GCF of 535,9380 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8065,4990
5 | 8065, 4990 |
1613, 998 |
∴ So the LCM of the given numbers is 5 x 1613 x 998 = 8048870
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 8065,4990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8065,4990) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(8065,4990) x common factors =5 x 1 = 5
LCM(8065,4990) = ( 8065 × 4990 ) / 5
LCM(8065,4990) = 40244350 / 5
LCM(8065,4990) = 8048870
Lets's calculate GCF of 535,9380
5 | 535, 9380 |
107, 1876 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8048870/5
Therefore the LCM of Fractions 8065/535,4990/9380 is 1609774
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 9380
List of positive integer factors of 9380 that divides 9380 without a remainder.
1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Greatest Common Factor
We found the factors 535,9380 . The biggest common factor number is the GCF number.
So the greatest common factor 535,9380 is 5.
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 8065/535, 4990/9380?
Answer: LCM of Numerators as per given numbers 8065/535, 4990/9380 is
LCM of Numerators i.e. for 8065,4990 is 8048870
GCF of denominators i.e. for 535,9380 is 5.
Thus, LCM of Fractions is 1609774.Finally, LCM of Fractions for 8065/535, 4990/9380 is 1609774.