Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/842, 863/635, 771/930 quickly i.e. 18630444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/842, 863/635, 771/930 is 18630444.
LCM(28/842, 863/635, 771/930) = 18630444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/842,863/635,771/930
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 28,863,771
Least Common Multiple of Numerators i.e. LCM of 28,863,771 is 18630444.
GCF of Denominators means GCF of 842,635,930 as per the given fractions.
GCF of 842,635,930 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,863,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 18630444
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 28,863,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,863,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,863,771) x common factors =1 x 1 = 1
LCM(28,863,771) = ( 28 × 863 × 771 ) / 1
LCM(28,863,771) = 18630444 / 1
LCM(28,863,771) = 18630444
Lets's calculate GCF of 842,635,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18630444/1
Therefore the LCM of Fractions 28/842,863/635,771/930 is 18630444
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 842,635,930 . The biggest common factor number is the GCF number.
So the greatest common factor 842,635,930 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 28/842, 863/635, 771/930?
Answer: LCM of Numerators as per given numbers 28/842, 863/635, 771/930 is
LCM of Numerators i.e. for 28,863,771 is 18630444
GCF of denominators i.e. for 842,635,930 is 1.
Thus, LCM of Fractions is 18630444.Finally, LCM of Fractions for 28/842, 863/635, 771/930 is 18630444.