Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3517/80, 8332/675 quickly i.e. 29303644/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3517/80, 8332/675 is 29303644/5.
LCM(3517/80, 8332/675) = 29303644/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3517/80,8332/675
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 3517,8332
Least Common Multiple of Numerators i.e. LCM of 3517,8332 is 29303644.
GCF of Denominators means GCF of 80,675 as per the given fractions.
GCF of 80,675 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3517,8332
Given numbers has no common factors except 1. So, there LCM is their product i.e 29303644
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 3517,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3517,8332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3517,8332) x common factors =1 x 1 = 1
LCM(3517,8332) = ( 3517 × 8332 ) / 1
LCM(3517,8332) = 29303644 / 1
LCM(3517,8332) = 29303644
Lets's calculate GCF of 80,675
5 | 80, 675 |
16, 135 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29303644/5
Therefore the LCM of Fractions 3517/80,8332/675 is 29303644/5
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 80,675 . The biggest common factor number is the GCF number.
So the greatest common factor 80,675 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 3517/80, 8332/675?
Answer: LCM of Numerators as per given numbers 3517/80, 8332/675 is
LCM of Numerators i.e. for 3517,8332 is 29303644
GCF of denominators i.e. for 80,675 is 5.
Thus, LCM of Fractions is 29303644/5.Finally, LCM of Fractions for 3517/80, 8332/675 is 29303644/5.