Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/214, 5493/6288 quickly i.e. 142818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/214, 5493/6288 is 142818.
LCM(52/214, 5493/6288) = 142818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/214,5493/6288
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 52,5493
Least Common Multiple of Numerators i.e. LCM of 52,5493 is 285636.
GCF of Denominators means GCF of 214,6288 as per the given fractions.
GCF of 214,6288 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,5493
Given numbers has no common factors except 1. So, there LCM is their product i.e 285636
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 52,5493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,5493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,5493) x common factors =1 x 1 = 1
LCM(52,5493) = ( 52 × 5493 ) / 1
LCM(52,5493) = 285636 / 1
LCM(52,5493) = 285636
Lets's calculate GCF of 214,6288
2 | 214, 6288 |
107, 3144 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285636/2
Therefore the LCM of Fractions 52/214,5493/6288 is 142818
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 6288
List of positive integer factors of 6288 that divides 6288 without a remainder.
1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors 214,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 214,6288 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 52/214, 5493/6288?
Answer: LCM of Numerators as per given numbers 52/214, 5493/6288 is
LCM of Numerators i.e. for 52,5493 is 285636
GCF of denominators i.e. for 214,6288 is 2.
Thus, LCM of Fractions is 142818.Finally, LCM of Fractions for 52/214, 5493/6288 is 142818.