Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 540/16, 142/30, 340/24 quickly i.e. 325890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 540/16, 142/30, 340/24 is 325890.
LCM(540/16, 142/30, 340/24) = 325890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 540/16,142/30,340/24
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 540,142,340
Least Common Multiple of Numerators i.e. LCM of 540,142,340 is 651780.
GCF of Denominators means GCF of 16,30,24 as per the given fractions.
GCF of 16,30,24 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 540,142,340
2 | 540, 142, 340 |
2 | 270, 71, 170 |
5 | 135, 71, 85 |
27, 71, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 71 x 17 = 651780
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 540,142,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,142,340) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(540,142,340) x common factors =2 x 20 = 40
LCM(540,142,340) = ( 540 × 142 × 340 ) / 40
LCM(540,142,340) = 26071200 / 40
LCM(540,142,340) = 651780
Lets's calculate GCF of 16,30,24
2 | 16, 30, 24 |
8, 15, 12 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651780/2
Therefore the LCM of Fractions 540/16,142/30,340/24 is 325890
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 16,30,24 . The biggest common factor number is the GCF number.
So the greatest common factor 16,30,24 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 540/16, 142/30, 340/24?
Answer: LCM of Numerators as per given numbers 540/16, 142/30, 340/24 is
LCM of Numerators i.e. for 540,142,340 is 651780
GCF of denominators i.e. for 16,30,24 is 2.
Thus, LCM of Fractions is 325890.Finally, LCM of Fractions for 540/16, 142/30, 340/24 is 325890.