Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 273/204, 907/901 quickly i.e. 247611/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 273/204, 907/901 is 247611/17.
LCM(273/204, 907/901) = 247611/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 273/204,907/901
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 273,907
Least Common Multiple of Numerators i.e. LCM of 273,907 is 247611.
GCF of Denominators means GCF of 204,901 as per the given fractions.
GCF of 204,901 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 273,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 247611
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 273,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,907) x common factors =1 x 1 = 1
LCM(273,907) = ( 273 × 907 ) / 1
LCM(273,907) = 247611 / 1
LCM(273,907) = 247611
Lets's calculate GCF of 204,901
17 | 204, 901 |
12, 53 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247611/17
Therefore the LCM of Fractions 273/204,907/901 is 247611/17
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 204,901 . The biggest common factor number is the GCF number.
So the greatest common factor 204,901 is 17.
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 273/204, 907/901?
Answer: LCM of Numerators as per given numbers 273/204, 907/901 is
LCM of Numerators i.e. for 273,907 is 247611
GCF of denominators i.e. for 204,901 is 17.
Thus, LCM of Fractions is 247611/17.Finally, LCM of Fractions for 273/204, 907/901 is 247611/17.