Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/250, 638/168 quickly i.e. 40513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/250, 638/168 is 40513.
LCM(127/250, 638/168) = 40513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/250,638/168
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 127,638
Least Common Multiple of Numerators i.e. LCM of 127,638 is 81026.
GCF of Denominators means GCF of 250,168 as per the given fractions.
GCF of 250,168 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 81026
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 127,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,638) x common factors =1 x 1 = 1
LCM(127,638) = ( 127 × 638 ) / 1
LCM(127,638) = 81026 / 1
LCM(127,638) = 81026
Lets's calculate GCF of 250,168
2 | 250, 168 |
125, 84 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81026/2
Therefore the LCM of Fractions 127/250,638/168 is 40513
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 250,168 . The biggest common factor number is the GCF number.
So the greatest common factor 250,168 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 127/250, 638/168?
Answer: LCM of Numerators as per given numbers 127/250, 638/168 is
LCM of Numerators i.e. for 127,638 is 81026
GCF of denominators i.e. for 250,168 is 2.
Thus, LCM of Fractions is 40513.Finally, LCM of Fractions for 127/250, 638/168 is 40513.