Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 566/989, 201/312, 567/944 quickly i.e. 21501774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 566/989, 201/312, 567/944 is 21501774.
LCM(566/989, 201/312, 567/944) = 21501774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 566/989,201/312,567/944
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 566,201,567
Least Common Multiple of Numerators i.e. LCM of 566,201,567 is 21501774.
GCF of Denominators means GCF of 989,312,944 as per the given fractions.
GCF of 989,312,944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 566,201,567
3 | 566, 201, 567 |
566, 67, 189 |
∴ So the LCM of the given numbers is 3 x 566 x 67 x 189 = 21501774
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 566,201,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,201,567) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(566,201,567) x common factors =1 x 3 = 3
LCM(566,201,567) = ( 566 × 201 × 567 ) / 3
LCM(566,201,567) = 64505322 / 3
LCM(566,201,567) = 21501774
Lets's calculate GCF of 989,312,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21501774/1
Therefore the LCM of Fractions 566/989,201/312,567/944 is 21501774
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 989,312,944 . The biggest common factor number is the GCF number.
So the greatest common factor 989,312,944 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 566/989, 201/312, 567/944?
Answer: LCM of Numerators as per given numbers 566/989, 201/312, 567/944 is
LCM of Numerators i.e. for 566,201,567 is 21501774
GCF of denominators i.e. for 989,312,944 is 1.
Thus, LCM of Fractions is 21501774.Finally, LCM of Fractions for 566/989, 201/312, 567/944 is 21501774.