Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/62, 706/17, 491/515 quickly i.e. 286676242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/62, 706/17, 491/515 is 286676242.
LCM(827/62, 706/17, 491/515) = 286676242
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/62,706/17,491/515
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 827,706,491
Least Common Multiple of Numerators i.e. LCM of 827,706,491 is 286676242.
GCF of Denominators means GCF of 62,17,515 as per the given fractions.
GCF of 62,17,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,706,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 286676242
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 827,706,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,706,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,706,491) x common factors =1 x 1 = 1
LCM(827,706,491) = ( 827 × 706 × 491 ) / 1
LCM(827,706,491) = 286676242 / 1
LCM(827,706,491) = 286676242
Lets's calculate GCF of 62,17,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286676242/1
Therefore the LCM of Fractions 827/62,706/17,491/515 is 286676242
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 62,17,515 . The biggest common factor number is the GCF number.
So the greatest common factor 62,17,515 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 827/62, 706/17, 491/515?
Answer: LCM of Numerators as per given numbers 827/62, 706/17, 491/515 is
LCM of Numerators i.e. for 827,706,491 is 286676242
GCF of denominators i.e. for 62,17,515 is 1.
Thus, LCM of Fractions is 286676242.Finally, LCM of Fractions for 827/62, 706/17, 491/515 is 286676242.