Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 218/98, 493/6051 quickly i.e. 107474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 218/98, 493/6051 is 107474.
LCM(218/98, 493/6051) = 107474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 218/98,493/6051
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 218,493
Least Common Multiple of Numerators i.e. LCM of 218,493 is 107474.
GCF of Denominators means GCF of 98,6051 as per the given fractions.
GCF of 98,6051 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 218,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 107474
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 218,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,493) x common factors =1 x 1 = 1
LCM(218,493) = ( 218 × 493 ) / 1
LCM(218,493) = 107474 / 1
LCM(218,493) = 107474
Lets's calculate GCF of 98,6051
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107474/1
Therefore the LCM of Fractions 218/98,493/6051 is 107474
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 6051
List of positive integer factors of 6051 that divides 6051 without a remainder.
1,3,2017,6051
Greatest Common Factor
We found the factors 98,6051 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6051 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 218/98, 493/6051?
Answer: LCM of Numerators as per given numbers 218/98, 493/6051 is
LCM of Numerators i.e. for 218,493 is 107474
GCF of denominators i.e. for 98,6051 is 1.
Thus, LCM of Fractions is 107474.Finally, LCM of Fractions for 218/98, 493/6051 is 107474.