Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/73, 85/67, 266/564 quickly i.e. 22610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/73, 85/67, 266/564 is 22610.
LCM(19/73, 85/67, 266/564) = 22610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/73,85/67,266/564
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 19,85,266
Least Common Multiple of Numerators i.e. LCM of 19,85,266 is 22610.
GCF of Denominators means GCF of 73,67,564 as per the given fractions.
GCF of 73,67,564 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,85,266
19 | 19, 85, 266 |
1, 85, 14 |
∴ So the LCM of the given numbers is 19 x 1 x 85 x 14 = 22610
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 19,85,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,85,266) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,85,266) x common factors =1 x 19 = 19
LCM(19,85,266) = ( 19 × 85 × 266 ) / 19
LCM(19,85,266) = 429590 / 19
LCM(19,85,266) = 22610
Lets's calculate GCF of 73,67,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22610/1
Therefore the LCM of Fractions 19/73,85/67,266/564 is 22610
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 73,67,564 . The biggest common factor number is the GCF number.
So the greatest common factor 73,67,564 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 19/73, 85/67, 266/564?
Answer: LCM of Numerators as per given numbers 19/73, 85/67, 266/564 is
LCM of Numerators i.e. for 19,85,266 is 22610
GCF of denominators i.e. for 73,67,564 is 1.
Thus, LCM of Fractions is 22610.Finally, LCM of Fractions for 19/73, 85/67, 266/564 is 22610.