Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/536, 6579/5226 quickly i.e. 1868436/134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/536, 6579/5226 is 1868436/134.
LCM(852/536, 6579/5226) = 1868436/134
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/536,6579/5226
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 852,6579
Least Common Multiple of Numerators i.e. LCM of 852,6579 is 1868436.
GCF of Denominators means GCF of 536,5226 as per the given fractions.
GCF of 536,5226 is 134 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,6579
3 | 852, 6579 |
284, 2193 |
∴ So the LCM of the given numbers is 3 x 284 x 2193 = 1868436
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 852,6579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,6579) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(852,6579) x common factors =3 x 1 = 3
LCM(852,6579) = ( 852 × 6579 ) / 3
LCM(852,6579) = 5605308 / 3
LCM(852,6579) = 1868436
Lets's calculate GCF of 536,5226
2 | 536, 5226 |
67 | 268, 2613 |
4, 39 |
∴ So the GCF of the given numbers is 2 x 67 = 134
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1868436/134
Therefore the LCM of Fractions 852/536,6579/5226 is 1868436/134
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 5226
List of positive integer factors of 5226 that divides 5226 without a remainder.
1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226
Greatest Common Factor
We found the factors 536,5226 . The biggest common factor number is the GCF number.
So the greatest common factor 536,5226 is 134.
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 852/536, 6579/5226?
Answer: LCM of Numerators as per given numbers 852/536, 6579/5226 is
LCM of Numerators i.e. for 852,6579 is 1868436
GCF of denominators i.e. for 536,5226 is 134.
Thus, LCM of Fractions is 1868436/134.Finally, LCM of Fractions for 852/536, 6579/5226 is 1868436/134.