Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/51, 104/1530 quickly i.e. 24648/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/51, 104/1530 is 24648/51.
LCM(948/51, 104/1530) = 24648/51
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/51,104/1530
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 948,104
Least Common Multiple of Numerators i.e. LCM of 948,104 is 24648.
GCF of Denominators means GCF of 51,1530 as per the given fractions.
GCF of 51,1530 is 51 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,104
2 | 948, 104 |
2 | 474, 52 |
237, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 26 = 24648
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 948,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,104) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(948,104) x common factors =4 x 1 = 4
LCM(948,104) = ( 948 × 104 ) / 4
LCM(948,104) = 98592 / 4
LCM(948,104) = 24648
Lets's calculate GCF of 51,1530
3 | 51, 1530 |
17 | 17, 510 |
1, 30 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24648/51
Therefore the LCM of Fractions 948/51,104/1530 is 24648/51
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 1530
List of positive integer factors of 1530 that divides 1530 without a remainder.
1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Greatest Common Factor
We found the factors 51,1530 . The biggest common factor number is the GCF number.
So the greatest common factor 51,1530 is 51.
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 948/51, 104/1530?
Answer: LCM of Numerators as per given numbers 948/51, 104/1530 is
LCM of Numerators i.e. for 948,104 is 24648
GCF of denominators i.e. for 51,1530 is 51.
Thus, LCM of Fractions is 24648/51.Finally, LCM of Fractions for 948/51, 104/1530 is 24648/51.