Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/612, 32/943, 65/374 quickly i.e. 2080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/612, 32/943, 65/374 is 2080.
LCM(5/612, 32/943, 65/374) = 2080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/612,32/943,65/374
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 5,32,65
Least Common Multiple of Numerators i.e. LCM of 5,32,65 is 2080.
GCF of Denominators means GCF of 612,943,374 as per the given fractions.
GCF of 612,943,374 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,32,65
5 | 5, 32, 65 |
1, 32, 13 |
∴ So the LCM of the given numbers is 5 x 1 x 32 x 13 = 2080
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 5,32,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,32,65) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(5,32,65) x common factors =1 x 5 = 5
LCM(5,32,65) = ( 5 × 32 × 65 ) / 5
LCM(5,32,65) = 10400 / 5
LCM(5,32,65) = 2080
Lets's calculate GCF of 612,943,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080/1
Therefore the LCM of Fractions 5/612,32/943,65/374 is 2080
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 612,943,374 . The biggest common factor number is the GCF number.
So the greatest common factor 612,943,374 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 5/612, 32/943, 65/374?
Answer: LCM of Numerators as per given numbers 5/612, 32/943, 65/374 is
LCM of Numerators i.e. for 5,32,65 is 2080
GCF of denominators i.e. for 612,943,374 is 1.
Thus, LCM of Fractions is 2080.Finally, LCM of Fractions for 5/612, 32/943, 65/374 is 2080.