Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/771, 389/889, 389/330 quickly i.e. 10892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/771, 389/889, 389/330 is 10892.
LCM(28/771, 389/889, 389/330) = 10892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/771,389/889,389/330
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 28,389,389
Least Common Multiple of Numerators i.e. LCM of 28,389,389 is 10892.
GCF of Denominators means GCF of 771,889,330 as per the given fractions.
GCF of 771,889,330 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,389,389
389 | 28, 389, 389 |
28, 1, 1 |
∴ So the LCM of the given numbers is 389 x 28 x 1 x 1 = 10892
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 28,389,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,389,389) = 1
common factors(in case of two or more numbers have common factors) = 389
GCF(28,389,389) x common factors =1 x 389 = 389
LCM(28,389,389) = ( 28 × 389 × 389 ) / 389
LCM(28,389,389) = 4236988 / 389
LCM(28,389,389) = 10892
Lets's calculate GCF of 771,889,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10892/1
Therefore the LCM of Fractions 28/771,389/889,389/330 is 10892
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 771,889,330 . The biggest common factor number is the GCF number.
So the greatest common factor 771,889,330 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 28/771, 389/889, 389/330?
Answer: LCM of Numerators as per given numbers 28/771, 389/889, 389/330 is
LCM of Numerators i.e. for 28,389,389 is 10892
GCF of denominators i.e. for 771,889,330 is 1.
Thus, LCM of Fractions is 10892.Finally, LCM of Fractions for 28/771, 389/889, 389/330 is 10892.