Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2945/374, 1824/5765 quickly i.e. 282720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2945/374, 1824/5765 is 282720.
LCM(2945/374, 1824/5765) = 282720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2945/374,1824/5765
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 2945,1824
Least Common Multiple of Numerators i.e. LCM of 2945,1824 is 282720.
GCF of Denominators means GCF of 374,5765 as per the given fractions.
GCF of 374,5765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2945,1824
19 | 2945, 1824 |
155, 96 |
∴ So the LCM of the given numbers is 19 x 155 x 96 = 282720
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 2945,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2945,1824) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(2945,1824) x common factors =19 x 1 = 19
LCM(2945,1824) = ( 2945 × 1824 ) / 19
LCM(2945,1824) = 5371680 / 19
LCM(2945,1824) = 282720
Lets's calculate GCF of 374,5765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282720/1
Therefore the LCM of Fractions 2945/374,1824/5765 is 282720
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 5765
List of positive integer factors of 5765 that divides 5765 without a remainder.
1,5,1153,5765
Greatest Common Factor
We found the factors 374,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 374,5765 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 2945/374, 1824/5765?
Answer: LCM of Numerators as per given numbers 2945/374, 1824/5765 is
LCM of Numerators i.e. for 2945,1824 is 282720
GCF of denominators i.e. for 374,5765 is 1.
Thus, LCM of Fractions is 282720.Finally, LCM of Fractions for 2945/374, 1824/5765 is 282720.