Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7933/412, 2218/8095 quickly i.e. 17595394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7933/412, 2218/8095 is 17595394.
LCM(7933/412, 2218/8095) = 17595394
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7933/412,2218/8095
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 7933,2218
Least Common Multiple of Numerators i.e. LCM of 7933,2218 is 17595394.
GCF of Denominators means GCF of 412,8095 as per the given fractions.
GCF of 412,8095 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7933,2218
Given numbers has no common factors except 1. So, there LCM is their product i.e 17595394
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 7933,2218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7933,2218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7933,2218) x common factors =1 x 1 = 1
LCM(7933,2218) = ( 7933 × 2218 ) / 1
LCM(7933,2218) = 17595394 / 1
LCM(7933,2218) = 17595394
Lets's calculate GCF of 412,8095
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17595394/1
Therefore the LCM of Fractions 7933/412,2218/8095 is 17595394
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 8095
List of positive integer factors of 8095 that divides 8095 without a remainder.
1,5,1619,8095
Greatest Common Factor
We found the factors 412,8095 . The biggest common factor number is the GCF number.
So the greatest common factor 412,8095 is 1.
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 7933/412, 2218/8095?
Answer: LCM of Numerators as per given numbers 7933/412, 2218/8095 is
LCM of Numerators i.e. for 7933,2218 is 17595394
GCF of denominators i.e. for 412,8095 is 1.
Thus, LCM of Fractions is 17595394.Finally, LCM of Fractions for 7933/412, 2218/8095 is 17595394.