Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/51, 597/9010 quickly i.e. 48954/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/51, 597/9010 is 48954/17.
LCM(246/51, 597/9010) = 48954/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/51,597/9010
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 246,597
Least Common Multiple of Numerators i.e. LCM of 246,597 is 48954.
GCF of Denominators means GCF of 51,9010 as per the given fractions.
GCF of 51,9010 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,597
3 | 246, 597 |
82, 199 |
∴ So the LCM of the given numbers is 3 x 82 x 199 = 48954
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 246,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(246,597) x common factors =3 x 1 = 3
LCM(246,597) = ( 246 × 597 ) / 3
LCM(246,597) = 146862 / 3
LCM(246,597) = 48954
Lets's calculate GCF of 51,9010
17 | 51, 9010 |
3, 530 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48954/17
Therefore the LCM of Fractions 246/51,597/9010 is 48954/17
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 9010
List of positive integer factors of 9010 that divides 9010 without a remainder.
1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Greatest Common Factor
We found the factors 51,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 51,9010 is 17.
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 246/51, 597/9010?
Answer: LCM of Numerators as per given numbers 246/51, 597/9010 is
LCM of Numerators i.e. for 246,597 is 48954
GCF of denominators i.e. for 51,9010 is 17.
Thus, LCM of Fractions is 48954/17.Finally, LCM of Fractions for 246/51, 597/9010 is 48954/17.