Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/89, 11/44, 80/70, 26/722 quickly i.e. 926640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/89, 11/44, 80/70, 26/722 is 926640.
LCM(81/89, 11/44, 80/70, 26/722) = 926640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/89,11/44,80/70,26/722
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 81,11,80,26
Least Common Multiple of Numerators i.e. LCM of 81,11,80,26 is 926640.
GCF of Denominators means GCF of 89,44,70,722 as per the given fractions.
GCF of 89,44,70,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,11,80,26
2 | 81, 11, 80, 26 |
81, 11, 40, 13 |
∴ So the LCM of the given numbers is 2 x 81 x 11 x 40 x 13 = 926640
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 81,11,80,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,11,80,26) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(81,11,80,26) x common factors =1 x 2 = 2
LCM(81,11,80,26) = ( 81 × 11 × 80 × 26 ) / 2
LCM(81,11,80,26) = 1853280 / 2
LCM(81,11,80,26) = 926640
Lets's calculate GCF of 89,44,70,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 926640/1
Therefore the LCM of Fractions 81/89,11/44,80/70,26/722 is 926640
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 89,44,70,722 . The biggest common factor number is the GCF number.
So the greatest common factor 89,44,70,722 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 81/89, 11/44, 80/70, 26/722?
Answer: LCM of Numerators as per given numbers 81/89, 11/44, 80/70, 26/722 is
LCM of Numerators i.e. for 81,11,80,26 is 926640
GCF of denominators i.e. for 89,44,70,722 is 1.
Thus, LCM of Fractions is 926640.Finally, LCM of Fractions for 81/89, 11/44, 80/70, 26/722 is 926640.