Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/87, 629/4756 quickly i.e. 275502/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/87, 629/4756 is 275502/29.
LCM(438/87, 629/4756) = 275502/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/87,629/4756
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 438,629
Least Common Multiple of Numerators i.e. LCM of 438,629 is 275502.
GCF of Denominators means GCF of 87,4756 as per the given fractions.
GCF of 87,4756 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 275502
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 438,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,629) x common factors =1 x 1 = 1
LCM(438,629) = ( 438 × 629 ) / 1
LCM(438,629) = 275502 / 1
LCM(438,629) = 275502
Lets's calculate GCF of 87,4756
29 | 87, 4756 |
3, 164 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275502/29
Therefore the LCM of Fractions 438/87,629/4756 is 275502/29
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 4756
List of positive integer factors of 4756 that divides 4756 without a remainder.
1,2,4,29,41,58,82,116,164,1189,2378,4756
Greatest Common Factor
We found the factors 87,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 87,4756 is 29.
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 438/87, 629/4756?
Answer: LCM of Numerators as per given numbers 438/87, 629/4756 is
LCM of Numerators i.e. for 438,629 is 275502
GCF of denominators i.e. for 87,4756 is 29.
Thus, LCM of Fractions is 275502/29.Finally, LCM of Fractions for 438/87, 629/4756 is 275502/29.