Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/966, 750/916, 581/339 quickly i.e. 13508250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/966, 750/916, 581/339 is 13508250.
LCM(62/966, 750/916, 581/339) = 13508250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/966,750/916,581/339
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 62,750,581
Least Common Multiple of Numerators i.e. LCM of 62,750,581 is 13508250.
GCF of Denominators means GCF of 966,916,339 as per the given fractions.
GCF of 966,916,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,750,581
2 | 62, 750, 581 |
31, 375, 581 |
∴ So the LCM of the given numbers is 2 x 31 x 375 x 581 = 13508250
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 62,750,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,750,581) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,750,581) x common factors =1 x 2 = 2
LCM(62,750,581) = ( 62 × 750 × 581 ) / 2
LCM(62,750,581) = 27016500 / 2
LCM(62,750,581) = 13508250
Lets's calculate GCF of 966,916,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13508250/1
Therefore the LCM of Fractions 62/966,750/916,581/339 is 13508250
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 966,916,339 . The biggest common factor number is the GCF number.
So the greatest common factor 966,916,339 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 62/966, 750/916, 581/339?
Answer: LCM of Numerators as per given numbers 62/966, 750/916, 581/339 is
LCM of Numerators i.e. for 62,750,581 is 13508250
GCF of denominators i.e. for 966,916,339 is 1.
Thus, LCM of Fractions is 13508250.Finally, LCM of Fractions for 62/966, 750/916, 581/339 is 13508250.