Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/446, 32/376 quickly i.e. 912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/446, 32/376 is 912.
LCM(57/446, 32/376) = 912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/446,32/376
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 57,32
Least Common Multiple of Numerators i.e. LCM of 57,32 is 1824.
GCF of Denominators means GCF of 446,376 as per the given fractions.
GCF of 446,376 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,32
Given numbers has no common factors except 1. So, there LCM is their product i.e 1824
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 57,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,32) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,32) x common factors =1 x 1 = 1
LCM(57,32) = ( 57 × 32 ) / 1
LCM(57,32) = 1824 / 1
LCM(57,32) = 1824
Lets's calculate GCF of 446,376
2 | 446, 376 |
223, 188 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1824/2
Therefore the LCM of Fractions 57/446,32/376 is 912
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 446,376 . The biggest common factor number is the GCF number.
So the greatest common factor 446,376 is 2.
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 57/446, 32/376?
Answer: LCM of Numerators as per given numbers 57/446, 32/376 is
LCM of Numerators i.e. for 57,32 is 1824
GCF of denominators i.e. for 446,376 is 2.
Thus, LCM of Fractions is 912.Finally, LCM of Fractions for 57/446, 32/376 is 912.