Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/116, 5138/4234 quickly i.e. 46242/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/116, 5138/4234 is 46242/58.
LCM(63/116, 5138/4234) = 46242/58
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/116,5138/4234
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 63,5138
Least Common Multiple of Numerators i.e. LCM of 63,5138 is 46242.
GCF of Denominators means GCF of 116,4234 as per the given fractions.
GCF of 116,4234 is 58 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,5138
7 | 63, 5138 |
9, 734 |
∴ So the LCM of the given numbers is 7 x 9 x 734 = 46242
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 63,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,5138) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(63,5138) x common factors =7 x 1 = 7
LCM(63,5138) = ( 63 × 5138 ) / 7
LCM(63,5138) = 323694 / 7
LCM(63,5138) = 46242
Lets's calculate GCF of 116,4234
2 | 116, 4234 |
29 | 58, 2117 |
2, 73 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46242/58
Therefore the LCM of Fractions 63/116,5138/4234 is 46242/58
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors 116,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 116,4234 is 58.
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 63/116, 5138/4234?
Answer: LCM of Numerators as per given numbers 63/116, 5138/4234 is
LCM of Numerators i.e. for 63,5138 is 46242
GCF of denominators i.e. for 116,4234 is 58.
Thus, LCM of Fractions is 46242/58.Finally, LCM of Fractions for 63/116, 5138/4234 is 46242/58.