Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8255/234, 1723/2764 quickly i.e. 14223365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8255/234, 1723/2764 is 14223365/2.
LCM(8255/234, 1723/2764) = 14223365/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8255/234,1723/2764
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 8255,1723
Least Common Multiple of Numerators i.e. LCM of 8255,1723 is 14223365.
GCF of Denominators means GCF of 234,2764 as per the given fractions.
GCF of 234,2764 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8255,1723
Given numbers has no common factors except 1. So, there LCM is their product i.e 14223365
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 8255,1723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8255,1723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8255,1723) x common factors =1 x 1 = 1
LCM(8255,1723) = ( 8255 × 1723 ) / 1
LCM(8255,1723) = 14223365 / 1
LCM(8255,1723) = 14223365
Lets's calculate GCF of 234,2764
2 | 234, 2764 |
117, 1382 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14223365/2
Therefore the LCM of Fractions 8255/234,1723/2764 is 14223365/2
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 2764
List of positive integer factors of 2764 that divides 2764 without a remainder.
1,2,4,691,1382,2764
Greatest Common Factor
We found the factors 234,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 234,2764 is 2.
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 8255/234, 1723/2764?
Answer: LCM of Numerators as per given numbers 8255/234, 1723/2764 is
LCM of Numerators i.e. for 8255,1723 is 14223365
GCF of denominators i.e. for 234,2764 is 2.
Thus, LCM of Fractions is 14223365/2.Finally, LCM of Fractions for 8255/234, 1723/2764 is 14223365/2.