Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/382, 51/206, 405/558 quickly i.e. 96390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/382, 51/206, 405/558 is 96390.
LCM(28/382, 51/206, 405/558) = 96390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/382,51/206,405/558
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 28,51,405
Least Common Multiple of Numerators i.e. LCM of 28,51,405 is 192780.
GCF of Denominators means GCF of 382,206,558 as per the given fractions.
GCF of 382,206,558 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,51,405
3 | 28, 51, 405 |
28, 17, 135 |
∴ So the LCM of the given numbers is 3 x 28 x 17 x 135 = 192780
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 28,51,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,51,405) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(28,51,405) x common factors =1 x 3 = 3
LCM(28,51,405) = ( 28 × 51 × 405 ) / 3
LCM(28,51,405) = 578340 / 3
LCM(28,51,405) = 192780
Lets's calculate GCF of 382,206,558
2 | 382, 206, 558 |
191, 103, 279 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192780/2
Therefore the LCM of Fractions 28/382,51/206,405/558 is 96390
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 382,206,558 . The biggest common factor number is the GCF number.
So the greatest common factor 382,206,558 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 28/382, 51/206, 405/558?
Answer: LCM of Numerators as per given numbers 28/382, 51/206, 405/558 is
LCM of Numerators i.e. for 28,51,405 is 192780
GCF of denominators i.e. for 382,206,558 is 2.
Thus, LCM of Fractions is 96390.Finally, LCM of Fractions for 28/382, 51/206, 405/558 is 96390.