Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/778, 4981/3483 quickly i.e. 493119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/778, 4981/3483 is 493119.
LCM(99/778, 4981/3483) = 493119
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/778,4981/3483
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 99,4981
Least Common Multiple of Numerators i.e. LCM of 99,4981 is 493119.
GCF of Denominators means GCF of 778,3483 as per the given fractions.
GCF of 778,3483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,4981
Given numbers has no common factors except 1. So, there LCM is their product i.e 493119
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 99,4981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,4981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,4981) x common factors =1 x 1 = 1
LCM(99,4981) = ( 99 × 4981 ) / 1
LCM(99,4981) = 493119 / 1
LCM(99,4981) = 493119
Lets's calculate GCF of 778,3483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493119/1
Therefore the LCM of Fractions 99/778,4981/3483 is 493119
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 3483
List of positive integer factors of 3483 that divides 3483 without a remainder.
1,3,9,27,43,81,129,387,1161,3483
Greatest Common Factor
We found the factors 778,3483 . The biggest common factor number is the GCF number.
So the greatest common factor 778,3483 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 99/778, 4981/3483?
Answer: LCM of Numerators as per given numbers 99/778, 4981/3483 is
LCM of Numerators i.e. for 99,4981 is 493119
GCF of denominators i.e. for 778,3483 is 1.
Thus, LCM of Fractions is 493119.Finally, LCM of Fractions for 99/778, 4981/3483 is 493119.