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How many Positive integers between 1 and 100 is Multiple of 7 or 11 ?

 Jun 22, 2020
 #1
avatar+1005 
-2

The largest multiple of 7 is 7*14

 

Thus 14 multiples

 

Largest of 11 is 11*9, 9 multiples

 

One is 7*11 = 77, and so 14+9-1 = 22

 

If you don't understand anything feel free to ask

 Jun 22, 2020
 #2
avatar+678 
+3

A quick summary of what hugomimihu wrote:

First find all of 7's multiples between 1-100.

Then find all of 11's multiples between 1-100.

Add the sums together.

Minus the numbers that repeat (basically find the least common multiple of 7 and 11 which is 77-- Since there is only one multiple of 77 between 1-100, you only need to minus one.)

 Jun 22, 2020

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