Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 565/84, 414/78, 405/301 quickly i.e. 2105190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 565/84, 414/78, 405/301 is 2105190.
LCM(565/84, 414/78, 405/301) = 2105190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 565/84,414/78,405/301
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 565,414,405
Least Common Multiple of Numerators i.e. LCM of 565,414,405 is 2105190.
GCF of Denominators means GCF of 84,78,301 as per the given fractions.
GCF of 84,78,301 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 565,414,405
3 | 565, 414, 405 |
3 | 565, 138, 135 |
5 | 565, 46, 45 |
113, 46, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 113 x 46 x 9 = 2105190
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 565,414,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,414,405) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(565,414,405) x common factors =1 x 45 = 45
LCM(565,414,405) = ( 565 × 414 × 405 ) / 45
LCM(565,414,405) = 94733550 / 45
LCM(565,414,405) = 2105190
Lets's calculate GCF of 84,78,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2105190/1
Therefore the LCM of Fractions 565/84,414/78,405/301 is 2105190
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 84,78,301 . The biggest common factor number is the GCF number.
So the greatest common factor 84,78,301 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 565/84, 414/78, 405/301?
Answer: LCM of Numerators as per given numbers 565/84, 414/78, 405/301 is
LCM of Numerators i.e. for 565,414,405 is 2105190
GCF of denominators i.e. for 84,78,301 is 1.
Thus, LCM of Fractions is 2105190.Finally, LCM of Fractions for 565/84, 414/78, 405/301 is 2105190.