Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/38, 33/14, 89/675 quickly i.e. 67551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/38, 33/14, 89/675 is 67551.
LCM(69/38, 33/14, 89/675) = 67551
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/38,33/14,89/675
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 69,33,89
Least Common Multiple of Numerators i.e. LCM of 69,33,89 is 67551.
GCF of Denominators means GCF of 38,14,675 as per the given fractions.
GCF of 38,14,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,33,89
3 | 69, 33, 89 |
23, 11, 89 |
∴ So the LCM of the given numbers is 3 x 23 x 11 x 89 = 67551
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 69,33,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,33,89) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,33,89) x common factors =1 x 3 = 3
LCM(69,33,89) = ( 69 × 33 × 89 ) / 3
LCM(69,33,89) = 202653 / 3
LCM(69,33,89) = 67551
Lets's calculate GCF of 38,14,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67551/1
Therefore the LCM of Fractions 69/38,33/14,89/675 is 67551
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 38,14,675 . The biggest common factor number is the GCF number.
So the greatest common factor 38,14,675 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 69/38, 33/14, 89/675?
Answer: LCM of Numerators as per given numbers 69/38, 33/14, 89/675 is
LCM of Numerators i.e. for 69,33,89 is 67551
GCF of denominators i.e. for 38,14,675 is 1.
Thus, LCM of Fractions is 67551.Finally, LCM of Fractions for 69/38, 33/14, 89/675 is 67551.