Question

together.
Find the smallest 4-digit number that canbe divided by 22, 36 and 42.
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Answer 1

Answer:

2772

Step-by-step explanation:

First, find the lcm (lowest common multiple)of the numbers by factorizing them

2 | 22 36 42

2 | 11   18  21

3 | 11    9   21

3 | 11    3    7

7 | 11     1    7

11 | 11     1     1

Then multiply all the factors i.e. all the numbers on the left

2 * 2* 3 * 3 * 7 * 11  = 2772

Since this is already a four-digit number, our answer is the lcm itself i.e. 2772.

Otherwise, if the lcm was not a 4 digit number, we would try to find the smallest multiple of the lcm which would be a 4 digit number.

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