Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/211, 16/680, 586/779 quickly i.e. 182832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/211, 16/680, 586/779 is 182832.
LCM(39/211, 16/680, 586/779) = 182832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/211,16/680,586/779
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 39,16,586
Least Common Multiple of Numerators i.e. LCM of 39,16,586 is 182832.
GCF of Denominators means GCF of 211,680,779 as per the given fractions.
GCF of 211,680,779 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,16,586
2 | 39, 16, 586 |
39, 8, 293 |
∴ So the LCM of the given numbers is 2 x 39 x 8 x 293 = 182832
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 39,16,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,16,586) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(39,16,586) x common factors =1 x 2 = 2
LCM(39,16,586) = ( 39 × 16 × 586 ) / 2
LCM(39,16,586) = 365664 / 2
LCM(39,16,586) = 182832
Lets's calculate GCF of 211,680,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182832/1
Therefore the LCM of Fractions 39/211,16/680,586/779 is 182832
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 211,680,779 . The biggest common factor number is the GCF number.
So the greatest common factor 211,680,779 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 39/211, 16/680, 586/779?
Answer: LCM of Numerators as per given numbers 39/211, 16/680, 586/779 is
LCM of Numerators i.e. for 39,16,586 is 182832
GCF of denominators i.e. for 211,680,779 is 1.
Thus, LCM of Fractions is 182832.Finally, LCM of Fractions for 39/211, 16/680, 586/779 is 182832.