Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/577, 31/155, 461/466 quickly i.e. 14291 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/577, 31/155, 461/466 is 14291.
LCM(31/577, 31/155, 461/466) = 14291
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/577,31/155,461/466
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 31,31,461
Least Common Multiple of Numerators i.e. LCM of 31,31,461 is 14291.
GCF of Denominators means GCF of 577,155,466 as per the given fractions.
GCF of 577,155,466 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,31,461
31 | 31, 31, 461 |
1, 1, 461 |
∴ So the LCM of the given numbers is 31 x 1 x 1 x 461 = 14291
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 31,31,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,31,461) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(31,31,461) x common factors =1 x 31 = 31
LCM(31,31,461) = ( 31 × 31 × 461 ) / 31
LCM(31,31,461) = 443021 / 31
LCM(31,31,461) = 14291
Lets's calculate GCF of 577,155,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14291/1
Therefore the LCM of Fractions 31/577,31/155,461/466 is 14291
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 577,155,466 . The biggest common factor number is the GCF number.
So the greatest common factor 577,155,466 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 31/577, 31/155, 461/466?
Answer: LCM of Numerators as per given numbers 31/577, 31/155, 461/466 is
LCM of Numerators i.e. for 31,31,461 is 14291
GCF of denominators i.e. for 577,155,466 is 1.
Thus, LCM of Fractions is 14291.Finally, LCM of Fractions for 31/577, 31/155, 461/466 is 14291.