Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4639/262, 5934/738 quickly i.e. 13763913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4639/262, 5934/738 is 13763913.
LCM(4639/262, 5934/738) = 13763913
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4639/262,5934/738
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 4639,5934
Least Common Multiple of Numerators i.e. LCM of 4639,5934 is 27527826.
GCF of Denominators means GCF of 262,738 as per the given fractions.
GCF of 262,738 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4639,5934
Given numbers has no common factors except 1. So, there LCM is their product i.e 27527826
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 4639,5934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4639,5934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4639,5934) x common factors =1 x 1 = 1
LCM(4639,5934) = ( 4639 × 5934 ) / 1
LCM(4639,5934) = 27527826 / 1
LCM(4639,5934) = 27527826
Lets's calculate GCF of 262,738
2 | 262, 738 |
131, 369 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27527826/2
Therefore the LCM of Fractions 4639/262,5934/738 is 13763913
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 262,738 . The biggest common factor number is the GCF number.
So the greatest common factor 262,738 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 4639/262, 5934/738?
Answer: LCM of Numerators as per given numbers 4639/262, 5934/738 is
LCM of Numerators i.e. for 4639,5934 is 27527826
GCF of denominators i.e. for 262,738 is 2.
Thus, LCM of Fractions is 13763913.Finally, LCM of Fractions for 4639/262, 5934/738 is 13763913.