Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2885/181, 9260/822 quickly i.e. 5343020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2885/181, 9260/822 is 5343020.
LCM(2885/181, 9260/822) = 5343020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2885/181,9260/822
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 2885,9260
Least Common Multiple of Numerators i.e. LCM of 2885,9260 is 5343020.
GCF of Denominators means GCF of 181,822 as per the given fractions.
GCF of 181,822 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2885,9260
5 | 2885, 9260 |
577, 1852 |
∴ So the LCM of the given numbers is 5 x 577 x 1852 = 5343020
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 2885,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2885,9260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2885,9260) x common factors =5 x 1 = 5
LCM(2885,9260) = ( 2885 × 9260 ) / 5
LCM(2885,9260) = 26715100 / 5
LCM(2885,9260) = 5343020
Lets's calculate GCF of 181,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5343020/1
Therefore the LCM of Fractions 2885/181,9260/822 is 5343020
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 181,822 . The biggest common factor number is the GCF number.
So the greatest common factor 181,822 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 2885/181, 9260/822?
Answer: LCM of Numerators as per given numbers 2885/181, 9260/822 is
LCM of Numerators i.e. for 2885,9260 is 5343020
GCF of denominators i.e. for 181,822 is 1.
Thus, LCM of Fractions is 5343020.Finally, LCM of Fractions for 2885/181, 9260/822 is 5343020.