Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/544, 87/366, 352/309 quickly i.e. 949344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/544, 87/366, 352/309 is 949344.
LCM(31/544, 87/366, 352/309) = 949344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/544,87/366,352/309
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 31,87,352
Least Common Multiple of Numerators i.e. LCM of 31,87,352 is 949344.
GCF of Denominators means GCF of 544,366,309 as per the given fractions.
GCF of 544,366,309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,87,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 949344
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 31,87,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,87,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,87,352) x common factors =1 x 1 = 1
LCM(31,87,352) = ( 31 × 87 × 352 ) / 1
LCM(31,87,352) = 949344 / 1
LCM(31,87,352) = 949344
Lets's calculate GCF of 544,366,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949344/1
Therefore the LCM of Fractions 31/544,87/366,352/309 is 949344
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 544,366,309 . The biggest common factor number is the GCF number.
So the greatest common factor 544,366,309 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 31/544, 87/366, 352/309?
Answer: LCM of Numerators as per given numbers 31/544, 87/366, 352/309 is
LCM of Numerators i.e. for 31,87,352 is 949344
GCF of denominators i.e. for 544,366,309 is 1.
Thus, LCM of Fractions is 949344.Finally, LCM of Fractions for 31/544, 87/366, 352/309 is 949344.