Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/504, 4163/4102 quickly i.e. 108238/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/504, 4163/4102 is 108238/14.
LCM(26/504, 4163/4102) = 108238/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/504,4163/4102
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 26,4163
Least Common Multiple of Numerators i.e. LCM of 26,4163 is 108238.
GCF of Denominators means GCF of 504,4102 as per the given fractions.
GCF of 504,4102 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,4163
Given numbers has no common factors except 1. So, there LCM is their product i.e 108238
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 26,4163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,4163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,4163) x common factors =1 x 1 = 1
LCM(26,4163) = ( 26 × 4163 ) / 1
LCM(26,4163) = 108238 / 1
LCM(26,4163) = 108238
Lets's calculate GCF of 504,4102
2 | 504, 4102 |
7 | 252, 2051 |
36, 293 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108238/14
Therefore the LCM of Fractions 26/504,4163/4102 is 108238/14
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 4102
List of positive integer factors of 4102 that divides 4102 without a remainder.
1,2,7,14,293,586,2051,4102
Greatest Common Factor
We found the factors 504,4102 . The biggest common factor number is the GCF number.
So the greatest common factor 504,4102 is 14.
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 26/504, 4163/4102?
Answer: LCM of Numerators as per given numbers 26/504, 4163/4102 is
LCM of Numerators i.e. for 26,4163 is 108238
GCF of denominators i.e. for 504,4102 is 14.
Thus, LCM of Fractions is 108238/14.Finally, LCM of Fractions for 26/504, 4163/4102 is 108238/14.