Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/927, 29/409, 585/644 quickly i.e. 950040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/927, 29/409, 585/644 is 950040.
LCM(56/927, 29/409, 585/644) = 950040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/927,29/409,585/644
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 56,29,585
Least Common Multiple of Numerators i.e. LCM of 56,29,585 is 950040.
GCF of Denominators means GCF of 927,409,644 as per the given fractions.
GCF of 927,409,644 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,29,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 950040
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 56,29,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,29,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,29,585) x common factors =1 x 1 = 1
LCM(56,29,585) = ( 56 × 29 × 585 ) / 1
LCM(56,29,585) = 950040 / 1
LCM(56,29,585) = 950040
Lets's calculate GCF of 927,409,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 950040/1
Therefore the LCM of Fractions 56/927,29/409,585/644 is 950040
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 927,409,644 . The biggest common factor number is the GCF number.
So the greatest common factor 927,409,644 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 56/927, 29/409, 585/644?
Answer: LCM of Numerators as per given numbers 56/927, 29/409, 585/644 is
LCM of Numerators i.e. for 56,29,585 is 950040
GCF of denominators i.e. for 927,409,644 is 1.
Thus, LCM of Fractions is 950040.Finally, LCM of Fractions for 56/927, 29/409, 585/644 is 950040.