Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/634, 65/690, 593/243 quickly i.e. 3045055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/634, 65/690, 593/243 is 3045055.
LCM(79/634, 65/690, 593/243) = 3045055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/634,65/690,593/243
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 79,65,593
Least Common Multiple of Numerators i.e. LCM of 79,65,593 is 3045055.
GCF of Denominators means GCF of 634,690,243 as per the given fractions.
GCF of 634,690,243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,65,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 3045055
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 79,65,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,65,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,65,593) x common factors =1 x 1 = 1
LCM(79,65,593) = ( 79 × 65 × 593 ) / 1
LCM(79,65,593) = 3045055 / 1
LCM(79,65,593) = 3045055
Lets's calculate GCF of 634,690,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3045055/1
Therefore the LCM of Fractions 79/634,65/690,593/243 is 3045055
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 634,690,243 . The biggest common factor number is the GCF number.
So the greatest common factor 634,690,243 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 79/634, 65/690, 593/243?
Answer: LCM of Numerators as per given numbers 79/634, 65/690, 593/243 is
LCM of Numerators i.e. for 79,65,593 is 3045055
GCF of denominators i.e. for 634,690,243 is 1.
Thus, LCM of Fractions is 3045055.Finally, LCM of Fractions for 79/634, 65/690, 593/243 is 3045055.