Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 835/411, 9260/8439 quickly i.e. 1546420/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 835/411, 9260/8439 is 1546420/3.
LCM(835/411, 9260/8439) = 1546420/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 835/411,9260/8439
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 835,9260
Least Common Multiple of Numerators i.e. LCM of 835,9260 is 1546420.
GCF of Denominators means GCF of 411,8439 as per the given fractions.
GCF of 411,8439 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 835,9260
5 | 835, 9260 |
167, 1852 |
∴ So the LCM of the given numbers is 5 x 167 x 1852 = 1546420
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 835,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,9260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,9260) x common factors =5 x 1 = 5
LCM(835,9260) = ( 835 × 9260 ) / 5
LCM(835,9260) = 7732100 / 5
LCM(835,9260) = 1546420
Lets's calculate GCF of 411,8439
3 | 411, 8439 |
137, 2813 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1546420/3
Therefore the LCM of Fractions 835/411,9260/8439 is 1546420/3
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 8439
List of positive integer factors of 8439 that divides 8439 without a remainder.
1,3,29,87,97,291,2813,8439
Greatest Common Factor
We found the factors 411,8439 . The biggest common factor number is the GCF number.
So the greatest common factor 411,8439 is 3.
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 835/411, 9260/8439?
Answer: LCM of Numerators as per given numbers 835/411, 9260/8439 is
LCM of Numerators i.e. for 835,9260 is 1546420
GCF of denominators i.e. for 411,8439 is 3.
Thus, LCM of Fractions is 1546420/3.Finally, LCM of Fractions for 835/411, 9260/8439 is 1546420/3.