Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9085/653, 5490/8388 quickly i.e. 9975330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9085/653, 5490/8388 is 9975330.
LCM(9085/653, 5490/8388) = 9975330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9085/653,5490/8388
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 9085,5490
Least Common Multiple of Numerators i.e. LCM of 9085,5490 is 9975330.
GCF of Denominators means GCF of 653,8388 as per the given fractions.
GCF of 653,8388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9085,5490
5 | 9085, 5490 |
1817, 1098 |
∴ So the LCM of the given numbers is 5 x 1817 x 1098 = 9975330
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 9085,5490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9085,5490) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9085,5490) x common factors =5 x 1 = 5
LCM(9085,5490) = ( 9085 × 5490 ) / 5
LCM(9085,5490) = 49876650 / 5
LCM(9085,5490) = 9975330
Lets's calculate GCF of 653,8388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9975330/1
Therefore the LCM of Fractions 9085/653,5490/8388 is 9975330
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors 653,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 653,8388 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 9085/653, 5490/8388?
Answer: LCM of Numerators as per given numbers 9085/653, 5490/8388 is
LCM of Numerators i.e. for 9085,5490 is 9975330
GCF of denominators i.e. for 653,8388 is 1.
Thus, LCM of Fractions is 9975330.Finally, LCM of Fractions for 9085/653, 5490/8388 is 9975330.