Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/481, 364/834, 167/568 quickly i.e. 26321204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/481, 364/834, 167/568 is 26321204.
LCM(866/481, 364/834, 167/568) = 26321204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/481,364/834,167/568
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 866,364,167
Least Common Multiple of Numerators i.e. LCM of 866,364,167 is 26321204.
GCF of Denominators means GCF of 481,834,568 as per the given fractions.
GCF of 481,834,568 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,364,167
2 | 866, 364, 167 |
433, 182, 167 |
∴ So the LCM of the given numbers is 2 x 433 x 182 x 167 = 26321204
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 866,364,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,364,167) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(866,364,167) x common factors =1 x 2 = 2
LCM(866,364,167) = ( 866 × 364 × 167 ) / 2
LCM(866,364,167) = 52642408 / 2
LCM(866,364,167) = 26321204
Lets's calculate GCF of 481,834,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26321204/1
Therefore the LCM of Fractions 866/481,364/834,167/568 is 26321204
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 481,834,568 . The biggest common factor number is the GCF number.
So the greatest common factor 481,834,568 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 866/481, 364/834, 167/568?
Answer: LCM of Numerators as per given numbers 866/481, 364/834, 167/568 is
LCM of Numerators i.e. for 866,364,167 is 26321204
GCF of denominators i.e. for 481,834,568 is 1.
Thus, LCM of Fractions is 26321204.Finally, LCM of Fractions for 866/481, 364/834, 167/568 is 26321204.