Question

7. Find the greatest 4 digit number which is exactly divisible by 18,32 and 27
《it's answer =9504》
plz explain. ​

Answer 1

QUESTION -

FIND THE GREATEST 4 DIGIT NUMBER WHICH IS EXACTLY DIVISIBLE BY 18 , 32 AND 27.

ANSWER -

TO FIND THAT WE HAVE TAKE L.C.M OF THE GIVEN NUMBER.

THEN THE L.C.M OF 18, 32 AND 27

18 = 2×3×3

32 = 2×2×2×2×2

27 = 3×3×3

L.C.M OF 18, 32 AND 27 = 2⁵ × 3³ = 864

THE GREATEST FOUR DIGIT NUMBER = 9999

AFTER DIVIDING 9999 BY 864 , WE GET 495 AS THE REMAINDER.

SUBTRACTING 495 FROM 9999, WE GET

9999 - 495 = 9504.

Answer 2

LCM of 18 , 32 and 27

18 : 2×3×3

32 : 2×2×2×2×2

27 : 3×3×3

LCM of 18 , 32 and 27 : 2³ × 3³ : 864

The greatest 4 digit number : 9999

9999 / 864 is : 495

9999 - 495 : 9504

The answer is 9504