Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/226, 516/676, 104/405 quickly i.e. 415896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/226, 516/676, 104/405 is 415896.
LCM(62/226, 516/676, 104/405) = 415896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/226,516/676,104/405
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 62,516,104
Least Common Multiple of Numerators i.e. LCM of 62,516,104 is 415896.
GCF of Denominators means GCF of 226,676,405 as per the given fractions.
GCF of 226,676,405 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,516,104
2 | 62, 516, 104 |
2 | 31, 258, 52 |
31, 129, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 129 x 26 = 415896
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 62,516,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,516,104) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(62,516,104) x common factors =2 x 4 = 8
LCM(62,516,104) = ( 62 × 516 × 104 ) / 8
LCM(62,516,104) = 3327168 / 8
LCM(62,516,104) = 415896
Lets's calculate GCF of 226,676,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415896/1
Therefore the LCM of Fractions 62/226,516/676,104/405 is 415896
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 226,676,405 . The biggest common factor number is the GCF number.
So the greatest common factor 226,676,405 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 62/226, 516/676, 104/405?
Answer: LCM of Numerators as per given numbers 62/226, 516/676, 104/405 is
LCM of Numerators i.e. for 62,516,104 is 415896
GCF of denominators i.e. for 226,676,405 is 1.
Thus, LCM of Fractions is 415896.Finally, LCM of Fractions for 62/226, 516/676, 104/405 is 415896.