Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/86, 86/869, 317/631 quickly i.e. 1662982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/86, 86/869, 317/631 is 1662982.
LCM(61/86, 86/869, 317/631) = 1662982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/86,86/869,317/631
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 61,86,317
Least Common Multiple of Numerators i.e. LCM of 61,86,317 is 1662982.
GCF of Denominators means GCF of 86,869,631 as per the given fractions.
GCF of 86,869,631 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,86,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 1662982
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 61,86,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,86,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,86,317) x common factors =1 x 1 = 1
LCM(61,86,317) = ( 61 × 86 × 317 ) / 1
LCM(61,86,317) = 1662982 / 1
LCM(61,86,317) = 1662982
Lets's calculate GCF of 86,869,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1662982/1
Therefore the LCM of Fractions 61/86,86/869,317/631 is 1662982
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 86,869,631 . The biggest common factor number is the GCF number.
So the greatest common factor 86,869,631 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 61/86, 86/869, 317/631?
Answer: LCM of Numerators as per given numbers 61/86, 86/869, 317/631 is
LCM of Numerators i.e. for 61,86,317 is 1662982
GCF of denominators i.e. for 86,869,631 is 1.
Thus, LCM of Fractions is 1662982.Finally, LCM of Fractions for 61/86, 86/869, 317/631 is 1662982.