Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 447/26, 810/7485 quickly i.e. 120690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 447/26, 810/7485 is 120690.
LCM(447/26, 810/7485) = 120690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 447/26,810/7485
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 447,810
Least Common Multiple of Numerators i.e. LCM of 447,810 is 120690.
GCF of Denominators means GCF of 26,7485 as per the given fractions.
GCF of 26,7485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 447,810
3 | 447, 810 |
149, 270 |
∴ So the LCM of the given numbers is 3 x 149 x 270 = 120690
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 447,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,810) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,810) x common factors =3 x 1 = 3
LCM(447,810) = ( 447 × 810 ) / 3
LCM(447,810) = 362070 / 3
LCM(447,810) = 120690
Lets's calculate GCF of 26,7485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120690/1
Therefore the LCM of Fractions 447/26,810/7485 is 120690
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 7485
List of positive integer factors of 7485 that divides 7485 without a remainder.
1,3,5,15,499,1497,2495,7485
Greatest Common Factor
We found the factors 26,7485 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7485 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 447/26, 810/7485?
Answer: LCM of Numerators as per given numbers 447/26, 810/7485 is
LCM of Numerators i.e. for 447,810 is 120690
GCF of denominators i.e. for 26,7485 is 1.
Thus, LCM of Fractions is 120690.Finally, LCM of Fractions for 447/26, 810/7485 is 120690.