Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/759, 6307/9884 quickly i.e. 290122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/759, 6307/9884 is 290122.
LCM(782/759, 6307/9884) = 290122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/759,6307/9884
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 782,6307
Least Common Multiple of Numerators i.e. LCM of 782,6307 is 290122.
GCF of Denominators means GCF of 759,9884 as per the given fractions.
GCF of 759,9884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,6307
17 | 782, 6307 |
46, 371 |
∴ So the LCM of the given numbers is 17 x 46 x 371 = 290122
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 782,6307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,6307) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(782,6307) x common factors =17 x 1 = 17
LCM(782,6307) = ( 782 × 6307 ) / 17
LCM(782,6307) = 4932074 / 17
LCM(782,6307) = 290122
Lets's calculate GCF of 759,9884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290122/1
Therefore the LCM of Fractions 782/759,6307/9884 is 290122
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 9884
List of positive integer factors of 9884 that divides 9884 without a remainder.
1,2,4,7,14,28,353,706,1412,2471,4942,9884
Greatest Common Factor
We found the factors 759,9884 . The biggest common factor number is the GCF number.
So the greatest common factor 759,9884 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 782/759, 6307/9884?
Answer: LCM of Numerators as per given numbers 782/759, 6307/9884 is
LCM of Numerators i.e. for 782,6307 is 290122
GCF of denominators i.e. for 759,9884 is 1.
Thus, LCM of Fractions is 290122.Finally, LCM of Fractions for 782/759, 6307/9884 is 290122.