Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 510/52, 872/30, 554/286 quickly i.e. 30796860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 510/52, 872/30, 554/286 is 30796860.
LCM(510/52, 872/30, 554/286) = 30796860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 510/52,872/30,554/286
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 510,872,554
Least Common Multiple of Numerators i.e. LCM of 510,872,554 is 61593720.
GCF of Denominators means GCF of 52,30,286 as per the given fractions.
GCF of 52,30,286 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 510,872,554
2 | 510, 872, 554 |
255, 436, 277 |
∴ So the LCM of the given numbers is 2 x 255 x 436 x 277 = 61593720
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 510,872,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,872,554) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(510,872,554) x common factors =2 x 2 = 4
LCM(510,872,554) = ( 510 × 872 × 554 ) / 4
LCM(510,872,554) = 246374880 / 4
LCM(510,872,554) = 61593720
Lets's calculate GCF of 52,30,286
2 | 52, 30, 286 |
26, 15, 143 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61593720/2
Therefore the LCM of Fractions 510/52,872/30,554/286 is 30796860
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
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 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 52,30,286 . The biggest common factor number is the GCF number.
So the greatest common factor 52,30,286 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 510/52, 872/30, 554/286?
Answer: LCM of Numerators as per given numbers 510/52, 872/30, 554/286 is
LCM of Numerators i.e. for 510,872,554 is 61593720
GCF of denominators i.e. for 52,30,286 is 2.
Thus, LCM of Fractions is 30796860.Finally, LCM of Fractions for 510/52, 872/30, 554/286 is 30796860.