Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 520/16, 338/83, 792/867 quickly i.e. 669240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 520/16, 338/83, 792/867 is 669240.
LCM(520/16, 338/83, 792/867) = 669240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 520/16,338/83,792/867
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 520,338,792
Least Common Multiple of Numerators i.e. LCM of 520,338,792 is 669240.
GCF of Denominators means GCF of 16,83,867 as per the given fractions.
GCF of 16,83,867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 520,338,792
2 | 520, 338, 792 |
2 | 260, 169, 396 |
2 | 130, 169, 198 |
13 | 65, 169, 99 |
5, 13, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 5 x 13 x 99 = 669240
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 520,338,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,338,792) = 2
common factors(in case of two or more numbers have common factors) = 104
GCF(520,338,792) x common factors =2 x 104 = 208
LCM(520,338,792) = ( 520 × 338 × 792 ) / 208
LCM(520,338,792) = 139201920 / 208
LCM(520,338,792) = 669240
Lets's calculate GCF of 16,83,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669240/1
Therefore the LCM of Fractions 520/16,338/83,792/867 is 669240
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 16,83,867 . The biggest common factor number is the GCF number.
So the greatest common factor 16,83,867 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 520/16, 338/83, 792/867?
Answer: LCM of Numerators as per given numbers 520/16, 338/83, 792/867 is
LCM of Numerators i.e. for 520,338,792 is 669240
GCF of denominators i.e. for 16,83,867 is 1.
Thus, LCM of Fractions is 669240.Finally, LCM of Fractions for 520/16, 338/83, 792/867 is 669240.