Math, asked by harjwantsingh12, 1 year ago

Find the smallest six digit number exactly divisible by 15,24 and 36

Answers

Answered by ankitkrpt
11
the smallest six digit number is 100000...
it not exactly divisible by 15,24,and36 it give answer in decimal

it is exactly divisible by 25,50,100,1000 like number perfectly.....

harjwantsingh12: I want full solution of this question plz
ankitkrpt: hey i will give you full sloution.....
ankitkrpt: ok ....
ankitkrpt: We will find out the LCM of 24,15 and 36 is 360.

Now, greatest 6-digit number is 999999.

Now, We will divide this number by LCM of 24,15 and 36, we will get,

999999/360 will get remainder 279.

Now 999999 – 279 = 999720.

Now we will check it out for the numbers we will get,

999720/24 = 41655

999720/15 = 66648

999720/36 = 27770

∴ 999720 is the greatest number 6-digit number divisible by 24,15 and 36
ankitkrpt:
means line break ....
ankitkrpt: or paragraph change ..
ankitkrpt: mark as
ankitkrpt: ..........
harjwantsingh12: Find the smallest six digit number not greatest six digit number
ankitkrpt: silly mistake do it again ...
Answered by techtro
23

To find :

The smallest six digit number exactly divisible by 15,24 and 36

Solution :

LCM of 15, 24 and 36 = 360

Smallest six digit number = 100000

Divide 100000 by 360

We get remainder as 280

Subtract 280 from 100000 and add 360

= 100000 - 280 + 360

= 100080

Let us check if it is divisible by 15, 24 and 36

100080/15 = 6672

100080/24 = 4170

100080/36 = 2780

Hence, 100080 is the smallest six digit number exactly divisible by 15,24 and 36

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