Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/285, 1793/1374 quickly i.e. 30481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/285, 1793/1374 is 30481.
LCM(51/285, 1793/1374) = 30481
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/285,1793/1374
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 51,1793
Least Common Multiple of Numerators i.e. LCM of 51,1793 is 91443.
GCF of Denominators means GCF of 285,1374 as per the given fractions.
GCF of 285,1374 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,1793
Given numbers has no common factors except 1. So, there LCM is their product i.e 91443
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 51,1793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,1793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,1793) x common factors =1 x 1 = 1
LCM(51,1793) = ( 51 × 1793 ) / 1
LCM(51,1793) = 91443 / 1
LCM(51,1793) = 91443
Lets's calculate GCF of 285,1374
3 | 285, 1374 |
95, 458 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91443/3
Therefore the LCM of Fractions 51/285,1793/1374 is 30481
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 1374
List of positive integer factors of 1374 that divides 1374 without a remainder.
1,2,3,6,229,458,687,1374
Greatest Common Factor
We found the factors 285,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 285,1374 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 51/285, 1793/1374?
Answer: LCM of Numerators as per given numbers 51/285, 1793/1374 is
LCM of Numerators i.e. for 51,1793 is 91443
GCF of denominators i.e. for 285,1374 is 3.
Thus, LCM of Fractions is 30481.Finally, LCM of Fractions for 51/285, 1793/1374 is 30481.