Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/258, 32/319, 708/411 quickly i.e. 28320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/258, 32/319, 708/411 is 28320.
LCM(30/258, 32/319, 708/411) = 28320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/258,32/319,708/411
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 30,32,708
Least Common Multiple of Numerators i.e. LCM of 30,32,708 is 28320.
GCF of Denominators means GCF of 258,319,411 as per the given fractions.
GCF of 258,319,411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,32,708
2 | 30, 32, 708 |
2 | 15, 16, 354 |
3 | 15, 8, 177 |
5, 8, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 59 = 28320
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 30,32,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,32,708) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(30,32,708) x common factors =2 x 12 = 24
LCM(30,32,708) = ( 30 × 32 × 708 ) / 24
LCM(30,32,708) = 679680 / 24
LCM(30,32,708) = 28320
Lets's calculate GCF of 258,319,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28320/1
Therefore the LCM of Fractions 30/258,32/319,708/411 is 28320
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 258,319,411 . The biggest common factor number is the GCF number.
So the greatest common factor 258,319,411 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 30/258, 32/319, 708/411?
Answer: LCM of Numerators as per given numbers 30/258, 32/319, 708/411 is
LCM of Numerators i.e. for 30,32,708 is 28320
GCF of denominators i.e. for 258,319,411 is 1.
Thus, LCM of Fractions is 28320.Finally, LCM of Fractions for 30/258, 32/319, 708/411 is 28320.