Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/530, 39/212, 540/434 quickly i.e. 14040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/530, 39/212, 540/434 is 14040.
LCM(80/530, 39/212, 540/434) = 14040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/530,39/212,540/434
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 80,39,540
Least Common Multiple of Numerators i.e. LCM of 80,39,540 is 28080.
GCF of Denominators means GCF of 530,212,434 as per the given fractions.
GCF of 530,212,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,39,540
2 | 80, 39, 540 |
2 | 40, 39, 270 |
3 | 20, 39, 135 |
5 | 20, 13, 45 |
4, 13, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 13 x 9 = 28080
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 80,39,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,39,540) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(80,39,540) x common factors =1 x 60 = 60
LCM(80,39,540) = ( 80 × 39 × 540 ) / 60
LCM(80,39,540) = 1684800 / 60
LCM(80,39,540) = 28080
Lets's calculate GCF of 530,212,434
2 | 530, 212, 434 |
265, 106, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28080/2
Therefore the LCM of Fractions 80/530,39/212,540/434 is 14040
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 530,212,434 . The biggest common factor number is the GCF number.
So the greatest common factor 530,212,434 is 2.
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 80/530, 39/212, 540/434?
Answer: LCM of Numerators as per given numbers 80/530, 39/212, 540/434 is
LCM of Numerators i.e. for 80,39,540 is 28080
GCF of denominators i.e. for 530,212,434 is 2.
Thus, LCM of Fractions is 14040.Finally, LCM of Fractions for 80/530, 39/212, 540/434 is 14040.