Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/63, 35/84, 386/405 quickly i.e. 499870/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/63, 35/84, 386/405 is 499870/3.
LCM(74/63, 35/84, 386/405) = 499870/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/63,35/84,386/405
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 74,35,386
Least Common Multiple of Numerators i.e. LCM of 74,35,386 is 499870.
GCF of Denominators means GCF of 63,84,405 as per the given fractions.
GCF of 63,84,405 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,35,386
2 | 74, 35, 386 |
37, 35, 193 |
∴ So the LCM of the given numbers is 2 x 37 x 35 x 193 = 499870
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 74,35,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,35,386) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,35,386) x common factors =1 x 2 = 2
LCM(74,35,386) = ( 74 × 35 × 386 ) / 2
LCM(74,35,386) = 999740 / 2
LCM(74,35,386) = 499870
Lets's calculate GCF of 63,84,405
3 | 63, 84, 405 |
21, 28, 135 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499870/3
Therefore the LCM of Fractions 74/63,35/84,386/405 is 499870/3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
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 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 63,84,405 . The biggest common factor number is the GCF number.
So the greatest common factor 63,84,405 is 3.
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 74/63, 35/84, 386/405?
Answer: LCM of Numerators as per given numbers 74/63, 35/84, 386/405 is
LCM of Numerators i.e. for 74,35,386 is 499870
GCF of denominators i.e. for 63,84,405 is 3.
Thus, LCM of Fractions is 499870/3.Finally, LCM of Fractions for 74/63, 35/84, 386/405 is 499870/3.