Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6258/50, 8064/650 quickly i.e. 1201536/50 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6258/50, 8064/650 is 1201536/50.
LCM(6258/50, 8064/650) = 1201536/50
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6258/50,8064/650
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 6258,8064
Least Common Multiple of Numerators i.e. LCM of 6258,8064 is 1201536.
GCF of Denominators means GCF of 50,650 as per the given fractions.
GCF of 50,650 is 50 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6258,8064
2 | 6258, 8064 |
3 | 3129, 4032 |
7 | 1043, 1344 |
149, 192 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 149 x 192 = 1201536
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 6258,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6258,8064) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(6258,8064) x common factors =42 x 1 = 42
LCM(6258,8064) = ( 6258 × 8064 ) / 42
LCM(6258,8064) = 50464512 / 42
LCM(6258,8064) = 1201536
Lets's calculate GCF of 50,650
2 | 50, 650 |
5 | 25, 325 |
5 | 5, 65 |
1, 13 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201536/50
Therefore the LCM of Fractions 6258/50,8064/650 is 1201536/50
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 50,650 . The biggest common factor number is the GCF number.
So the greatest common factor 50,650 is 50.
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 6258/50, 8064/650?
Answer: LCM of Numerators as per given numbers 6258/50, 8064/650 is
LCM of Numerators i.e. for 6258,8064 is 1201536
GCF of denominators i.e. for 50,650 is 50.
Thus, LCM of Fractions is 1201536/50.Finally, LCM of Fractions for 6258/50, 8064/650 is 1201536/50.