Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 550/48, 5914/718 quickly i.e. 813175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 550/48, 5914/718 is 813175.
LCM(550/48, 5914/718) = 813175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 550/48,5914/718
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 550,5914
Least Common Multiple of Numerators i.e. LCM of 550,5914 is 1626350.
GCF of Denominators means GCF of 48,718 as per the given fractions.
GCF of 48,718 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 550,5914
2 | 550, 5914 |
275, 2957 |
∴ So the LCM of the given numbers is 2 x 275 x 2957 = 1626350
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 550,5914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,5914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,5914) x common factors =2 x 1 = 2
LCM(550,5914) = ( 550 × 5914 ) / 2
LCM(550,5914) = 3252700 / 2
LCM(550,5914) = 1626350
Lets's calculate GCF of 48,718
2 | 48, 718 |
24, 359 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1626350/2
Therefore the LCM of Fractions 550/48,5914/718 is 813175
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 48,718 . The biggest common factor number is the GCF number.
So the greatest common factor 48,718 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 550/48, 5914/718?
Answer: LCM of Numerators as per given numbers 550/48, 5914/718 is
LCM of Numerators i.e. for 550,5914 is 1626350
GCF of denominators i.e. for 48,718 is 2.
Thus, LCM of Fractions is 813175.Finally, LCM of Fractions for 550/48, 5914/718 is 813175.