Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/26, 41/95, 914/540 quickly i.e. 2360862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/26, 41/95, 914/540 is 2360862.
LCM(63/26, 41/95, 914/540) = 2360862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/26,41/95,914/540
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 63,41,914
Least Common Multiple of Numerators i.e. LCM of 63,41,914 is 2360862.
GCF of Denominators means GCF of 26,95,540 as per the given fractions.
GCF of 26,95,540 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,41,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 2360862
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 63,41,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,41,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,41,914) x common factors =1 x 1 = 1
LCM(63,41,914) = ( 63 × 41 × 914 ) / 1
LCM(63,41,914) = 2360862 / 1
LCM(63,41,914) = 2360862
Lets's calculate GCF of 26,95,540
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2360862/1
Therefore the LCM of Fractions 63/26,41/95,914/540 is 2360862
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 26,95,540 . The biggest common factor number is the GCF number.
So the greatest common factor 26,95,540 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 63/26, 41/95, 914/540?
Answer: LCM of Numerators as per given numbers 63/26, 41/95, 914/540 is
LCM of Numerators i.e. for 63,41,914 is 2360862
GCF of denominators i.e. for 26,95,540 is 1.
Thus, LCM of Fractions is 2360862.Finally, LCM of Fractions for 63/26, 41/95, 914/540 is 2360862.