Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 510/54, 722/3063 quickly i.e. 61370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 510/54, 722/3063 is 61370.
LCM(510/54, 722/3063) = 61370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 510/54,722/3063
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 510,722
Least Common Multiple of Numerators i.e. LCM of 510,722 is 184110.
GCF of Denominators means GCF of 54,3063 as per the given fractions.
GCF of 54,3063 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 510,722
2 | 510, 722 |
255, 361 |
∴ So the LCM of the given numbers is 2 x 255 x 361 = 184110
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 510,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,722) x common factors =2 x 1 = 2
LCM(510,722) = ( 510 × 722 ) / 2
LCM(510,722) = 368220 / 2
LCM(510,722) = 184110
Lets's calculate GCF of 54,3063
3 | 54, 3063 |
18, 1021 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184110/3
Therefore the LCM of Fractions 510/54,722/3063 is 61370
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 3063
List of positive integer factors of 3063 that divides 3063 without a remainder.
1,3,1021,3063
Greatest Common Factor
We found the factors 54,3063 . The biggest common factor number is the GCF number.
So the greatest common factor 54,3063 is 3.
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 510/54, 722/3063?
Answer: LCM of Numerators as per given numbers 510/54, 722/3063 is
LCM of Numerators i.e. for 510,722 is 184110
GCF of denominators i.e. for 54,3063 is 3.
Thus, LCM of Fractions is 61370.Finally, LCM of Fractions for 510/54, 722/3063 is 61370.