Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/458, 783/771, 473/177 quickly i.e. 29628720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/458, 783/771, 473/177 is 29628720.
LCM(80/458, 783/771, 473/177) = 29628720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/458,783/771,473/177
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 80,783,473
Least Common Multiple of Numerators i.e. LCM of 80,783,473 is 29628720.
GCF of Denominators means GCF of 458,771,177 as per the given fractions.
GCF of 458,771,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,783,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 29628720
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 80,783,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,783,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,783,473) x common factors =1 x 1 = 1
LCM(80,783,473) = ( 80 × 783 × 473 ) / 1
LCM(80,783,473) = 29628720 / 1
LCM(80,783,473) = 29628720
Lets's calculate GCF of 458,771,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29628720/1
Therefore the LCM of Fractions 80/458,783/771,473/177 is 29628720
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 458,771,177 . The biggest common factor number is the GCF number.
So the greatest common factor 458,771,177 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 80/458, 783/771, 473/177?
Answer: LCM of Numerators as per given numbers 80/458, 783/771, 473/177 is
LCM of Numerators i.e. for 80,783,473 is 29628720
GCF of denominators i.e. for 458,771,177 is 1.
Thus, LCM of Fractions is 29628720.Finally, LCM of Fractions for 80/458, 783/771, 473/177 is 29628720.