Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/510, 85/986, 18/546 quickly i.e. 3060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/510, 85/986, 18/546 is 3060.
LCM(8/510, 85/986, 18/546) = 3060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/510,85/986,18/546
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 8,85,18
Least Common Multiple of Numerators i.e. LCM of 8,85,18 is 6120.
GCF of Denominators means GCF of 510,986,546 as per the given fractions.
GCF of 510,986,546 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,85,18
2 | 8, 85, 18 |
4, 85, 9 |
∴ So the LCM of the given numbers is 2 x 4 x 85 x 9 = 6120
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 8,85,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,85,18) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,85,18) x common factors =1 x 2 = 2
LCM(8,85,18) = ( 8 × 85 × 18 ) / 2
LCM(8,85,18) = 12240 / 2
LCM(8,85,18) = 6120
Lets's calculate GCF of 510,986,546
2 | 510, 986, 546 |
255, 493, 273 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6120/2
Therefore the LCM of Fractions 8/510,85/986,18/546 is 3060
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 510,986,546 . The biggest common factor number is the GCF number.
So the greatest common factor 510,986,546 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 8/510, 85/986, 18/546?
Answer: LCM of Numerators as per given numbers 8/510, 85/986, 18/546 is
LCM of Numerators i.e. for 8,85,18 is 6120
GCF of denominators i.e. for 510,986,546 is 2.
Thus, LCM of Fractions is 3060.Finally, LCM of Fractions for 8/510, 85/986, 18/546 is 3060.