Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/602, 67/522, 27/826 quickly i.e. 1809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/602, 67/522, 27/826 is 1809/2.
LCM(9/602, 67/522, 27/826) = 1809/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/602,67/522,27/826
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 9,67,27
Least Common Multiple of Numerators i.e. LCM of 9,67,27 is 1809.
GCF of Denominators means GCF of 602,522,826 as per the given fractions.
GCF of 602,522,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,67,27
3 | 9, 67, 27 |
3 | 3, 67, 9 |
1, 67, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 67 x 3 = 1809
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 9,67,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,67,27) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(9,67,27) x common factors =1 x 9 = 9
LCM(9,67,27) = ( 9 × 67 × 27 ) / 9
LCM(9,67,27) = 16281 / 9
LCM(9,67,27) = 1809
Lets's calculate GCF of 602,522,826
2 | 602, 522, 826 |
301, 261, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1809/2
Therefore the LCM of Fractions 9/602,67/522,27/826 is 1809/2
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 602,522,826 . The biggest common factor number is the GCF number.
So the greatest common factor 602,522,826 is 2.
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 9/602, 67/522, 27/826?
Answer: LCM of Numerators as per given numbers 9/602, 67/522, 27/826 is
LCM of Numerators i.e. for 9,67,27 is 1809
GCF of denominators i.e. for 602,522,826 is 2.
Thus, LCM of Fractions is 1809/2.Finally, LCM of Fractions for 9/602, 67/522, 27/826 is 1809/2.