Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 420/446, 381/713 quickly i.e. 53340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 420/446, 381/713 is 53340.
LCM(420/446, 381/713) = 53340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 420/446,381/713
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 420,381
Least Common Multiple of Numerators i.e. LCM of 420,381 is 53340.
GCF of Denominators means GCF of 446,713 as per the given fractions.
GCF of 446,713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 420,381
3 | 420, 381 |
140, 127 |
∴ So the LCM of the given numbers is 3 x 140 x 127 = 53340
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 420,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,381) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,381) x common factors =3 x 1 = 3
LCM(420,381) = ( 420 × 381 ) / 3
LCM(420,381) = 160020 / 3
LCM(420,381) = 53340
Lets's calculate GCF of 446,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53340/1
Therefore the LCM of Fractions 420/446,381/713 is 53340
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors 446,713 . The biggest common factor number is the GCF number.
So the greatest common factor 446,713 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 420/446, 381/713?
Answer: LCM of Numerators as per given numbers 420/446, 381/713 is
LCM of Numerators i.e. for 420,381 is 53340
GCF of denominators i.e. for 446,713 is 1.
Thus, LCM of Fractions is 53340.Finally, LCM of Fractions for 420/446, 381/713 is 53340.