Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 253/38, 481/6879 quickly i.e. 121693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 253/38, 481/6879 is 121693.
LCM(253/38, 481/6879) = 121693
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 253/38,481/6879
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 253,481
Least Common Multiple of Numerators i.e. LCM of 253,481 is 121693.
GCF of Denominators means GCF of 38,6879 as per the given fractions.
GCF of 38,6879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 253,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 121693
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 253,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,481) x common factors =1 x 1 = 1
LCM(253,481) = ( 253 × 481 ) / 1
LCM(253,481) = 121693 / 1
LCM(253,481) = 121693
Lets's calculate GCF of 38,6879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121693/1
Therefore the LCM of Fractions 253/38,481/6879 is 121693
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 6879
List of positive integer factors of 6879 that divides 6879 without a remainder.
1,3,2293,6879
Greatest Common Factor
We found the factors 38,6879 . The biggest common factor number is the GCF number.
So the greatest common factor 38,6879 is 1.
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 253/38, 481/6879?
Answer: LCM of Numerators as per given numbers 253/38, 481/6879 is
LCM of Numerators i.e. for 253,481 is 121693
GCF of denominators i.e. for 38,6879 is 1.
Thus, LCM of Fractions is 121693.Finally, LCM of Fractions for 253/38, 481/6879 is 121693.