Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/574, 19/650, 512/254 quickly i.e. 72960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/574, 19/650, 512/254 is 72960.
LCM(30/574, 19/650, 512/254) = 72960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/574,19/650,512/254
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 30,19,512
Least Common Multiple of Numerators i.e. LCM of 30,19,512 is 145920.
GCF of Denominators means GCF of 574,650,254 as per the given fractions.
GCF of 574,650,254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,19,512
2 | 30, 19, 512 |
15, 19, 256 |
∴ So the LCM of the given numbers is 2 x 15 x 19 x 256 = 145920
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 30,19,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,19,512) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,19,512) x common factors =1 x 2 = 2
LCM(30,19,512) = ( 30 × 19 × 512 ) / 2
LCM(30,19,512) = 291840 / 2
LCM(30,19,512) = 145920
Lets's calculate GCF of 574,650,254
2 | 574, 650, 254 |
287, 325, 127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145920/2
Therefore the LCM of Fractions 30/574,19/650,512/254 is 72960
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 574,650,254 . The biggest common factor number is the GCF number.
So the greatest common factor 574,650,254 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 30/574, 19/650, 512/254?
Answer: LCM of Numerators as per given numbers 30/574, 19/650, 512/254 is
LCM of Numerators i.e. for 30,19,512 is 145920
GCF of denominators i.e. for 574,650,254 is 2.
Thus, LCM of Fractions is 72960.Finally, LCM of Fractions for 30/574, 19/650, 512/254 is 72960.