Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/73, 80/55, 92/23, 55/761 quickly i.e. 40480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/73, 80/55, 92/23, 55/761 is 40480.
LCM(32/73, 80/55, 92/23, 55/761) = 40480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/73,80/55,92/23,55/761
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 32,80,92,55
Least Common Multiple of Numerators i.e. LCM of 32,80,92,55 is 40480.
GCF of Denominators means GCF of 73,55,23,761 as per the given fractions.
GCF of 73,55,23,761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,80,92,55
2 | 32, 80, 92, 55 |
2 | 16, 40, 46, 55 |
2 | 8, 20, 23, 55 |
2 | 4, 10, 23, 55 |
5 | 2, 5, 23, 55 |
2, 1, 23, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 2 x 1 x 23 x 11 = 40480
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 32,80,92,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,80,92,55) = 1
common factors(in case of two or more numbers have common factors) = 320
GCF(32,80,92,55) x common factors =1 x 320 = 320
LCM(32,80,92,55) = ( 32 × 80 × 92 × 55 ) / 320
LCM(32,80,92,55) = 12953600 / 320
LCM(32,80,92,55) = 40480
Lets's calculate GCF of 73,55,23,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40480/1
Therefore the LCM of Fractions 32/73,80/55,92/23,55/761 is 40480
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 73,55,23,761 . The biggest common factor number is the GCF number.
So the greatest common factor 73,55,23,761 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 32/73, 80/55, 92/23, 55/761?
Answer: LCM of Numerators as per given numbers 32/73, 80/55, 92/23, 55/761 is
LCM of Numerators i.e. for 32,80,92,55 is 40480
GCF of denominators i.e. for 73,55,23,761 is 1.
Thus, LCM of Fractions is 40480.Finally, LCM of Fractions for 32/73, 80/55, 92/23, 55/761 is 40480.