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Answer:Lcm (4,6)=12

Step-by-step explanation:Smallest 3 digit no. =100

Divide 100 by 12

100=12*8 +4

That means 12*8 would be the largest multiple of 12 that is less than 100

So 12*9 would be the smallest multiple of 12 that is greater than 100

Therefore the answer is 12*9=108.

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The smallest 3 digit number that is divisble by 2,3,4,5,6 is 720.

What is LCM?

LCM is the smallest number which can be divisible by both the numbers whose LCM is found. Suppose there are two numbers 2 and 3, if we find the LCM of these numbers we will find 6 and 6 is divisible by both 2 and 3.

How to find smallest number?

We have been given 5 numbers by which the smallest 3 number is divisible.

Factors of 2=1*2

Factors of 3=1*3

Factors of 4=1*2*2

Factors of 5=1*5

Factors of 6=1*2*3

LCM (Lowest Common Factor)=1*2*3*2*2*5*2*3

=720

Among all the numbers smallest 3 digit number is 100. So we will divide the number 100 by LCM and the number coming we will approximate the number and multiply with LCM to get the smallest number.

=100/720

=0.13

Approximately 1.

So the smallest 3 digit number that is divisible by 2,3,4,5,and 6 is 720.

Hence the smallest 3 digit number that is divisible by 2,3,4,5,and 6 is 720.

Learn more about LCM at https://brainly.com/question/233244

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