Question

find the greatest number of 6 digit exactly divisible by 24 ,15 and 36

Answer 1

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.

Answer 2

hey friend!!

here is your solution!!
_______________________

first we find the LCM of 24, 15, 36

24 = 2×2×2×3
15 = 3×5
36 = 2×2×3×3

LCM = 2×2×2×3×3×5
LCM = 360

greatest 6 digit number
==> 999999

divide the 6 digit number by LCM 360

now we get

===> 999999/360

Quotient = 2777
remainder = 279

so

greatest 6 digit number which is divided by 360
= 999999- 279
=999720 Ans!


check!

99720/24 = 4155
99720/15= 6648
99720/36= 2770

Hope it's helpful ✌✌☺