Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 270/93, 286/42, 590/80 quickly i.e. 2277990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 270/93, 286/42, 590/80 is 2277990.
LCM(270/93, 286/42, 590/80) = 2277990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 270/93,286/42,590/80
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 270,286,590
Least Common Multiple of Numerators i.e. LCM of 270,286,590 is 2277990.
GCF of Denominators means GCF of 93,42,80 as per the given fractions.
GCF of 93,42,80 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 270,286,590
2 | 270, 286, 590 |
5 | 135, 143, 295 |
27, 143, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 143 x 59 = 2277990
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 270,286,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,286,590) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(270,286,590) x common factors =2 x 10 = 20
LCM(270,286,590) = ( 270 × 286 × 590 ) / 20
LCM(270,286,590) = 45559800 / 20
LCM(270,286,590) = 2277990
Lets's calculate GCF of 93,42,80
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2277990/1
Therefore the LCM of Fractions 270/93,286/42,590/80 is 2277990
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Greatest Common Factor
We found the factors 93,42,80 . The biggest common factor number is the GCF number.
So the greatest common factor 93,42,80 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 270/93, 286/42, 590/80?
Answer: LCM of Numerators as per given numbers 270/93, 286/42, 590/80 is
LCM of Numerators i.e. for 270,286,590 is 2277990
GCF of denominators i.e. for 93,42,80 is 1.
Thus, LCM of Fractions is 2277990.Finally, LCM of Fractions for 270/93, 286/42, 590/80 is 2277990.