Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 694/90, 181/6194 quickly i.e. 62807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 694/90, 181/6194 is 62807.
LCM(694/90, 181/6194) = 62807
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 694/90,181/6194
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 694,181
Least Common Multiple of Numerators i.e. LCM of 694,181 is 125614.
GCF of Denominators means GCF of 90,6194 as per the given fractions.
GCF of 90,6194 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 694,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 125614
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 694,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,181) x common factors =1 x 1 = 1
LCM(694,181) = ( 694 × 181 ) / 1
LCM(694,181) = 125614 / 1
LCM(694,181) = 125614
Lets's calculate GCF of 90,6194
2 | 90, 6194 |
45, 3097 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125614/2
Therefore the LCM of Fractions 694/90,181/6194 is 62807
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 6194
List of positive integer factors of 6194 that divides 6194 without a remainder.
1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 90,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 90,6194 is 2.
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 694/90, 181/6194?
Answer: LCM of Numerators as per given numbers 694/90, 181/6194 is
LCM of Numerators i.e. for 694,181 is 125614
GCF of denominators i.e. for 90,6194 is 2.
Thus, LCM of Fractions is 62807.Finally, LCM of Fractions for 694/90, 181/6194 is 62807.