Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/21, 20/69, 76/881 quickly i.e. 33820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/21, 20/69, 76/881 is 33820.
LCM(89/21, 20/69, 76/881) = 33820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/21,20/69,76/881
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 89,20,76
Least Common Multiple of Numerators i.e. LCM of 89,20,76 is 33820.
GCF of Denominators means GCF of 21,69,881 as per the given fractions.
GCF of 21,69,881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,20,76
2 | 89, 20, 76 |
2 | 89, 10, 38 |
89, 5, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 5 x 19 = 33820
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 89,20,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,20,76) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(89,20,76) x common factors =1 x 4 = 4
LCM(89,20,76) = ( 89 × 20 × 76 ) / 4
LCM(89,20,76) = 135280 / 4
LCM(89,20,76) = 33820
Lets's calculate GCF of 21,69,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33820/1
Therefore the LCM of Fractions 89/21,20/69,76/881 is 33820
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 21,69,881 . The biggest common factor number is the GCF number.
So the greatest common factor 21,69,881 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 89/21, 20/69, 76/881?
Answer: LCM of Numerators as per given numbers 89/21, 20/69, 76/881 is
LCM of Numerators i.e. for 89,20,76 is 33820
GCF of denominators i.e. for 21,69,881 is 1.
Thus, LCM of Fractions is 33820.Finally, LCM of Fractions for 89/21, 20/69, 76/881 is 33820.