Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/266, 69/544, 68/462 quickly i.e. 7038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/266, 69/544, 68/462 is 7038.
LCM(9/266, 69/544, 68/462) = 7038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/266,69/544,68/462
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 9,69,68
Least Common Multiple of Numerators i.e. LCM of 9,69,68 is 14076.
GCF of Denominators means GCF of 266,544,462 as per the given fractions.
GCF of 266,544,462 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,69,68
3 | 9, 69, 68 |
3, 23, 68 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 68 = 14076
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 9,69,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,69,68) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,69,68) x common factors =1 x 3 = 3
LCM(9,69,68) = ( 9 × 69 × 68 ) / 3
LCM(9,69,68) = 42228 / 3
LCM(9,69,68) = 14076
Lets's calculate GCF of 266,544,462
2 | 266, 544, 462 |
133, 272, 231 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14076/2
Therefore the LCM of Fractions 9/266,69/544,68/462 is 7038
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 266,544,462 . The biggest common factor number is the GCF number.
So the greatest common factor 266,544,462 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 9/266, 69/544, 68/462?
Answer: LCM of Numerators as per given numbers 9/266, 69/544, 68/462 is
LCM of Numerators i.e. for 9,69,68 is 14076
GCF of denominators i.e. for 266,544,462 is 2.
Thus, LCM of Fractions is 7038.Finally, LCM of Fractions for 9/266, 69/544, 68/462 is 7038.