Question

Find the smallest 5 digit number which is divisible by 6, 8 and 12.​

Answer 1

Answer:

10008

Step-by-step explanation:

LCM of ( 6, 8 and 12) = 72

We require the smallest 5 digit multiple of 72.

So, smallest 5 digit multiple of 72 is = 10008. { 72 * 139 = 10008 }

You can also use remainder theorem:

As, smallest 5 digit number = 10000. Now, When divided by 72, it gives the remainder 64. So, (10000 - 64) = 9936 is a multiple of 72, but it is of 4 digits.

So, the next multiple will be (9936 + 72) = 10008.

Answer 2

Answer:

10000000000000

Step-by-step explanation: