Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9852/559, 5299/172 quickly i.e. 52205748/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9852/559, 5299/172 is 52205748/43.
LCM(9852/559, 5299/172) = 52205748/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9852/559,5299/172
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 9852,5299
Least Common Multiple of Numerators i.e. LCM of 9852,5299 is 52205748.
GCF of Denominators means GCF of 559,172 as per the given fractions.
GCF of 559,172 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9852,5299
Given numbers has no common factors except 1. So, there LCM is their product i.e 52205748
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 9852,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9852,5299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9852,5299) x common factors =1 x 1 = 1
LCM(9852,5299) = ( 9852 × 5299 ) / 1
LCM(9852,5299) = 52205748 / 1
LCM(9852,5299) = 52205748
Lets's calculate GCF of 559,172
43 | 559, 172 |
13, 4 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52205748/43
Therefore the LCM of Fractions 9852/559,5299/172 is 52205748/43
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 559,172 . The biggest common factor number is the GCF number.
So the greatest common factor 559,172 is 43.
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 9852/559, 5299/172?
Answer: LCM of Numerators as per given numbers 9852/559, 5299/172 is
LCM of Numerators i.e. for 9852,5299 is 52205748
GCF of denominators i.e. for 559,172 is 43.
Thus, LCM of Fractions is 52205748/43.Finally, LCM of Fractions for 9852/559, 5299/172 is 52205748/43.