Question

Find the greatest number of 4 digit which is exactly divisible by 15 24 and 36

Answer 1

Answer:

9720 is the greatest number

Answer 2

Step-by-step explanation:

LCM OF 15 ,24 36

15 = 3× 5

24 = 2 × 2 × 2 × 3

36 = 2 × 2 ×3 ×3

LCM = 2 × 2 × 2 × 3 × 3 × 5

= 360

IF 360 IS DIVISIBLE THEN 720 IS ALSO DIVISIBLE BY ALL 3

SO

BY MAKING A SERIES

360 , 720 , 1080 , ......... 9720

so 9720 is the largest 4 digit number DIVISIBLE by 15, 24, 36