Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/687, 90/499, 487/683 quickly i.e. 3462570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/687, 90/499, 487/683 is 3462570.
LCM(79/687, 90/499, 487/683) = 3462570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/687,90/499,487/683
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 79,90,487
Least Common Multiple of Numerators i.e. LCM of 79,90,487 is 3462570.
GCF of Denominators means GCF of 687,499,683 as per the given fractions.
GCF of 687,499,683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,90,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 3462570
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 79,90,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,90,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,90,487) x common factors =1 x 1 = 1
LCM(79,90,487) = ( 79 × 90 × 487 ) / 1
LCM(79,90,487) = 3462570 / 1
LCM(79,90,487) = 3462570
Lets's calculate GCF of 687,499,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3462570/1
Therefore the LCM of Fractions 79/687,90/499,487/683 is 3462570
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Greatest Common Factor
We found the factors 687,499,683 . The biggest common factor number is the GCF number.
So the greatest common factor 687,499,683 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 79/687, 90/499, 487/683?
Answer: LCM of Numerators as per given numbers 79/687, 90/499, 487/683 is
LCM of Numerators i.e. for 79,90,487 is 3462570
GCF of denominators i.e. for 687,499,683 is 1.
Thus, LCM of Fractions is 3462570.Finally, LCM of Fractions for 79/687, 90/499, 487/683 is 3462570.