Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 675/37, 2245/561 quickly i.e. 303075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 675/37, 2245/561 is 303075.
LCM(675/37, 2245/561) = 303075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 675/37,2245/561
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 675,2245
Least Common Multiple of Numerators i.e. LCM of 675,2245 is 303075.
GCF of Denominators means GCF of 37,561 as per the given fractions.
GCF of 37,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 675,2245
5 | 675, 2245 |
135, 449 |
∴ So the LCM of the given numbers is 5 x 135 x 449 = 303075
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 675,2245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,2245) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(675,2245) x common factors =5 x 1 = 5
LCM(675,2245) = ( 675 × 2245 ) / 5
LCM(675,2245) = 1515375 / 5
LCM(675,2245) = 303075
Lets's calculate GCF of 37,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303075/1
Therefore the LCM of Fractions 675/37,2245/561 is 303075
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 37,561 . The biggest common factor number is the GCF number.
So the greatest common factor 37,561 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 675/37, 2245/561?
Answer: LCM of Numerators as per given numbers 675/37, 2245/561 is
LCM of Numerators i.e. for 675,2245 is 303075
GCF of denominators i.e. for 37,561 is 1.
Thus, LCM of Fractions is 303075.Finally, LCM of Fractions for 675/37, 2245/561 is 303075.