Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5500/36, 5441/778 quickly i.e. 14962750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5500/36, 5441/778 is 14962750.
LCM(5500/36, 5441/778) = 14962750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5500/36,5441/778
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 5500,5441
Least Common Multiple of Numerators i.e. LCM of 5500,5441 is 29925500.
GCF of Denominators means GCF of 36,778 as per the given fractions.
GCF of 36,778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5500,5441
Given numbers has no common factors except 1. So, there LCM is their product i.e 29925500
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 5500,5441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5500,5441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5500,5441) x common factors =1 x 1 = 1
LCM(5500,5441) = ( 5500 × 5441 ) / 1
LCM(5500,5441) = 29925500 / 1
LCM(5500,5441) = 29925500
Lets's calculate GCF of 36,778
2 | 36, 778 |
18, 389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29925500/2
Therefore the LCM of Fractions 5500/36,5441/778 is 14962750
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 36,778 . The biggest common factor number is the GCF number.
So the greatest common factor 36,778 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 5500/36, 5441/778?
Answer: LCM of Numerators as per given numbers 5500/36, 5441/778 is
LCM of Numerators i.e. for 5500,5441 is 29925500
GCF of denominators i.e. for 36,778 is 2.
Thus, LCM of Fractions is 14962750.Finally, LCM of Fractions for 5500/36, 5441/778 is 14962750.