Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/69, 1/64, 61/17, 33/337 quickly i.e. 4026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/69, 1/64, 61/17, 33/337 is 4026.
LCM(6/69, 1/64, 61/17, 33/337) = 4026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/69,1/64,61/17,33/337
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 6,1,61,33
Least Common Multiple of Numerators i.e. LCM of 6,1,61,33 is 4026.
GCF of Denominators means GCF of 69,64,17,337 as per the given fractions.
GCF of 69,64,17,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,1,61,33
3 | 6, 1, 61, 33 |
2, 1, 61, 11 |
∴ So the LCM of the given numbers is 3 x 2 x 1 x 61 x 11 = 4026
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 6,1,61,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,1,61,33) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(6,1,61,33) x common factors =1 x 3 = 3
LCM(6,1,61,33) = ( 6 × 1 × 61 × 33 ) / 3
LCM(6,1,61,33) = 12078 / 3
LCM(6,1,61,33) = 4026
Lets's calculate GCF of 69,64,17,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4026/1
Therefore the LCM of Fractions 6/69,1/64,61/17,33/337 is 4026
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 69,64,17,337 . The biggest common factor number is the GCF number.
So the greatest common factor 69,64,17,337 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 6/69, 1/64, 61/17, 33/337?
Answer: LCM of Numerators as per given numbers 6/69, 1/64, 61/17, 33/337 is
LCM of Numerators i.e. for 6,1,61,33 is 4026
GCF of denominators i.e. for 69,64,17,337 is 1.
Thus, LCM of Fractions is 4026.Finally, LCM of Fractions for 6/69, 1/64, 61/17, 33/337 is 4026.