Question

What is the smallest number divisible by 1, 2, 3, 4, 5, 6, 7, 8 and 9?

Answer 1

Answer:

2520 is the LCM of 1,2,3,4,5,6,7,8,9

2520/1 = 2520

2520/2 = 1260

2520/3= 840

2520/4= 630

2520/5= 504

2520/6= 420

2520/7= 360

2520/8= 315

2520/9= 280

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Answer 2

Answer:

Therefore, $2520$ is the smallest count divisible by $1,2,3,4,5,6,7,8,9$.

Step-by-step explanation:

Concept:

In this firstly, we have to find the LCM of the provided numbers. The value that we got after LCM will be our answer or we can say that this value is the smallest count that is divisible by the provided numbers. Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

Given:

Numbers $=1,2,3,4,5,6,7,8,9$

To find:

We have to find the smallest number divisible by the provided numbers.

Solution:

LCM of $1,2,3,4,5,6,7,8,9$

$2 = 2\\3 = 3\\4 = 2*2\\5 = 5\\6 = 2*3\\7 = 7\\8 = 2*2*2\\9 = 3*3$

$LCM = 2*2*2*3*3*5*7\\LCM = 2520$

So, it means that $2520$ is the smallest count divisible by $1,2,3,4,5,6,7,8,9$.

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