Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/54, 69/23, 835/496 quickly i.e. 1786065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/54, 69/23, 835/496 is 1786065.
LCM(31/54, 69/23, 835/496) = 1786065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/54,69/23,835/496
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 31,69,835
Least Common Multiple of Numerators i.e. LCM of 31,69,835 is 1786065.
GCF of Denominators means GCF of 54,23,496 as per the given fractions.
GCF of 54,23,496 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,69,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 1786065
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 31,69,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,69,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,69,835) x common factors =1 x 1 = 1
LCM(31,69,835) = ( 31 × 69 × 835 ) / 1
LCM(31,69,835) = 1786065 / 1
LCM(31,69,835) = 1786065
Lets's calculate GCF of 54,23,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1786065/1
Therefore the LCM of Fractions 31/54,69/23,835/496 is 1786065
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 54,23,496 . The biggest common factor number is the GCF number.
So the greatest common factor 54,23,496 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 31/54, 69/23, 835/496?
Answer: LCM of Numerators as per given numbers 31/54, 69/23, 835/496 is
LCM of Numerators i.e. for 31,69,835 is 1786065
GCF of denominators i.e. for 54,23,496 is 1.
Thus, LCM of Fractions is 1786065.Finally, LCM of Fractions for 31/54, 69/23, 835/496 is 1786065.