Question

Find out the gratest 6- digit number exactly divisiable 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

 Firstly we will find the LCM of 24,15 and 36,

The LCM of 24,15 and 36
24= 2×2×2×3
15= 3×5
36= 2×2×3×3
Lcm = 2×2×2×3×3×5= 360

Greatest 6-digit number is 999999.

Now, We will divide this number by LCM, we get, 999999/360 = 279 as remainder.

Then subtract the remainder from the greatest 6 digit number= 999999 – 279 = 999720.


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

999720/24=41655

999720/15=66648

999720/36=27770

Therefore 999720 is the greatest number 6-digit number divisible by 24, 15 and 36.