Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/472, 720/293, 178/518 quickly i.e. 64080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/472, 720/293, 178/518 is 64080.
LCM(80/472, 720/293, 178/518) = 64080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/472,720/293,178/518
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 80,720,178
Least Common Multiple of Numerators i.e. LCM of 80,720,178 is 64080.
GCF of Denominators means GCF of 472,293,518 as per the given fractions.
GCF of 472,293,518 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,720,178
2 | 80, 720, 178 |
2 | 40, 360, 89 |
2 | 20, 180, 89 |
2 | 10, 90, 89 |
5 | 5, 45, 89 |
1, 9, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 9 x 89 = 64080
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 80,720,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,720,178) = 2
common factors(in case of two or more numbers have common factors) = 80
GCF(80,720,178) x common factors =2 x 80 = 160
LCM(80,720,178) = ( 80 × 720 × 178 ) / 160
LCM(80,720,178) = 10252800 / 160
LCM(80,720,178) = 64080
Lets's calculate GCF of 472,293,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64080/1
Therefore the LCM of Fractions 80/472,720/293,178/518 is 64080
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 472,293,518 . The biggest common factor number is the GCF number.
So the greatest common factor 472,293,518 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 80/472, 720/293, 178/518?
Answer: LCM of Numerators as per given numbers 80/472, 720/293, 178/518 is
LCM of Numerators i.e. for 80,720,178 is 64080
GCF of denominators i.e. for 472,293,518 is 1.
Thus, LCM of Fractions is 64080.Finally, LCM of Fractions for 80/472, 720/293, 178/518 is 64080.