Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/291, 516/14, 392/570 quickly i.e. 505680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/291, 516/14, 392/570 is 505680.
LCM(80/291, 516/14, 392/570) = 505680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/291,516/14,392/570
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 80,516,392
Least Common Multiple of Numerators i.e. LCM of 80,516,392 is 505680.
GCF of Denominators means GCF of 291,14,570 as per the given fractions.
GCF of 291,14,570 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,516,392
2 | 80, 516, 392 |
2 | 40, 258, 196 |
2 | 20, 129, 98 |
10, 129, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 129 x 49 = 505680
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 80,516,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,516,392) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(80,516,392) x common factors =4 x 8 = 32
LCM(80,516,392) = ( 80 × 516 × 392 ) / 32
LCM(80,516,392) = 16181760 / 32
LCM(80,516,392) = 505680
Lets's calculate GCF of 291,14,570
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505680/1
Therefore the LCM of Fractions 80/291,516/14,392/570 is 505680
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 291,14,570 . The biggest common factor number is the GCF number.
So the greatest common factor 291,14,570 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 80/291, 516/14, 392/570?
Answer: LCM of Numerators as per given numbers 80/291, 516/14, 392/570 is
LCM of Numerators i.e. for 80,516,392 is 505680
GCF of denominators i.e. for 291,14,570 is 1.
Thus, LCM of Fractions is 505680.Finally, LCM of Fractions for 80/291, 516/14, 392/570 is 505680.