Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2060/528, 9385/404 quickly i.e. 966655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2060/528, 9385/404 is 966655.
LCM(2060/528, 9385/404) = 966655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2060/528,9385/404
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 2060,9385
Least Common Multiple of Numerators i.e. LCM of 2060,9385 is 3866620.
GCF of Denominators means GCF of 528,404 as per the given fractions.
GCF of 528,404 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2060,9385
5 | 2060, 9385 |
412, 1877 |
∴ So the LCM of the given numbers is 5 x 412 x 1877 = 3866620
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 2060,9385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2060,9385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2060,9385) x common factors =5 x 1 = 5
LCM(2060,9385) = ( 2060 × 9385 ) / 5
LCM(2060,9385) = 19333100 / 5
LCM(2060,9385) = 3866620
Lets's calculate GCF of 528,404
2 | 528, 404 |
2 | 264, 202 |
132, 101 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3866620/4
Therefore the LCM of Fractions 2060/528,9385/404 is 966655
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 528,404 . The biggest common factor number is the GCF number.
So the greatest common factor 528,404 is 4.
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 2060/528, 9385/404?
Answer: LCM of Numerators as per given numbers 2060/528, 9385/404 is
LCM of Numerators i.e. for 2060,9385 is 3866620
GCF of denominators i.e. for 528,404 is 4.
Thus, LCM of Fractions is 966655.Finally, LCM of Fractions for 2060/528, 9385/404 is 966655.