Math, asked by suddh, 1 year ago

Find the least number of five digits which is exactly divisible by each of 32 3660 90 and 144​

Answers

Answered by shkhdiwakar
0

Answer:

Step-by-step explanation:

We can find the LCM by noting that 32=25, 36=22∗32, 90=32∗2∗5 and 144=12∗12=24∗32. So the LCM is the product of the highest of each of those prime powers, namely 25∗32∗5

which is 1440.

We are now looking for the smallest multiple of that which is greater than 10000.

If you know that 1/7=0.142857 (recurring), then an immediate guess is 7∗1440

which is 10080 and so that’s our answer because any smaller multiple of 1440 will clearly be less than 10000.

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