Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 539/63, 234/8853 quickly i.e. 42042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 539/63, 234/8853 is 42042.
LCM(539/63, 234/8853) = 42042
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 539/63,234/8853
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 539,234
Least Common Multiple of Numerators i.e. LCM of 539,234 is 126126.
GCF of Denominators means GCF of 63,8853 as per the given fractions.
GCF of 63,8853 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 539,234
Given numbers has no common factors except 1. So, there LCM is their product i.e 126126
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 539,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,234) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,234) x common factors =1 x 1 = 1
LCM(539,234) = ( 539 × 234 ) / 1
LCM(539,234) = 126126 / 1
LCM(539,234) = 126126
Lets's calculate GCF of 63,8853
3 | 63, 8853 |
21, 2951 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126126/3
Therefore the LCM of Fractions 539/63,234/8853 is 42042
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 8853
List of positive integer factors of 8853 that divides 8853 without a remainder.
1,3,13,39,227,681,2951,8853
Greatest Common Factor
We found the factors 63,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 63,8853 is 3.
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 539/63, 234/8853?
Answer: LCM of Numerators as per given numbers 539/63, 234/8853 is
LCM of Numerators i.e. for 539,234 is 126126
GCF of denominators i.e. for 63,8853 is 3.
Thus, LCM of Fractions is 42042.Finally, LCM of Fractions for 539/63, 234/8853 is 42042.