find the least 5 digit number divisible by 16 18 24 30?

2008-05-28 11:22 am

回答 (8)

2008-05-28 11:28 am
✔ 最佳答案
LCM(16, 18, 24, 30) = 720

Smallest 5 digit number = 10,000

10,000/720 > 13
14×720 = 10,080

The required number is 10,080
2008-05-28 11:29 am
16 = 2 x 2 x 2 x 2
18 = 2 x 3 x 3
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
------------------------
The LCM of 16,18,24,30 is:
2 x 2 x 2 x 2 x 3 x 3 x 5
= 720

720 x 14 = 10080

∴ 10080 is the least 5 digit number that is divisible by 16,18,24,30.
2008-05-28 11:27 am
10080
2008-05-28 11:29 am
Do you mean divisible by each of them? Then find their LCM and keep on multiplying it by 1,2,3,4.... till you get a 5 digit number first time.
That's the number.
The LCM is 1440, its multiple are 1440, 2880, 4320, 5760, ...
It shuld be 10,080 [ 7*1440]
2008-05-28 11:28 am
32580
2008-05-28 12:40 pm
10080
2008-05-28 11:38 am
10080
2008-05-28 11:37 am
IF U GET THE ANSWER...
PLEZ TELL ME...
THNX..


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