Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/775, 4198/8794 quickly i.e. 88158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/775, 4198/8794 is 88158.
LCM(21/775, 4198/8794) = 88158
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/775,4198/8794
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 21,4198
Least Common Multiple of Numerators i.e. LCM of 21,4198 is 88158.
GCF of Denominators means GCF of 775,8794 as per the given fractions.
GCF of 775,8794 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,4198
Given numbers has no common factors except 1. So, there LCM is their product i.e 88158
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 21,4198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,4198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,4198) x common factors =1 x 1 = 1
LCM(21,4198) = ( 21 × 4198 ) / 1
LCM(21,4198) = 88158 / 1
LCM(21,4198) = 88158
Lets's calculate GCF of 775,8794
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88158/1
Therefore the LCM of Fractions 21/775,4198/8794 is 88158
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 8794
List of positive integer factors of 8794 that divides 8794 without a remainder.
1,2,4397,8794
Greatest Common Factor
We found the factors 775,8794 . The biggest common factor number is the GCF number.
So the greatest common factor 775,8794 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 21/775, 4198/8794?
Answer: LCM of Numerators as per given numbers 21/775, 4198/8794 is
LCM of Numerators i.e. for 21,4198 is 88158
GCF of denominators i.e. for 775,8794 is 1.
Thus, LCM of Fractions is 88158.Finally, LCM of Fractions for 21/775, 4198/8794 is 88158.