Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/782, 6330/1017 quickly i.e. 88620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/782, 6330/1017 is 88620.
LCM(28/782, 6330/1017) = 88620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/782,6330/1017
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 28,6330
Least Common Multiple of Numerators i.e. LCM of 28,6330 is 88620.
GCF of Denominators means GCF of 782,1017 as per the given fractions.
GCF of 782,1017 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,6330
2 | 28, 6330 |
14, 3165 |
∴ So the LCM of the given numbers is 2 x 14 x 3165 = 88620
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 28,6330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,6330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,6330) x common factors =2 x 1 = 2
LCM(28,6330) = ( 28 × 6330 ) / 2
LCM(28,6330) = 177240 / 2
LCM(28,6330) = 88620
Lets's calculate GCF of 782,1017
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88620/1
Therefore the LCM of Fractions 28/782,6330/1017 is 88620
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 1017
List of positive integer factors of 1017 that divides 1017 without a remainder.
1,3,9,113,339,1017
Greatest Common Factor
We found the factors 782,1017 . The biggest common factor number is the GCF number.
So the greatest common factor 782,1017 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 28/782, 6330/1017?
Answer: LCM of Numerators as per given numbers 28/782, 6330/1017 is
LCM of Numerators i.e. for 28,6330 is 88620
GCF of denominators i.e. for 782,1017 is 1.
Thus, LCM of Fractions is 88620.Finally, LCM of Fractions for 28/782, 6330/1017 is 88620.