Question

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Find the greatest 4-digit number, which is exactly divisible by 20,30,32 and 36

Answer 1

Hence

LCM is 1440.

Greatest 4- digit number is 9999.

Now divide the greatest 4-digit number with LCM -

9999/1440 = 6.94 (approximately 6)

Now Multiply it with LCM -

1440 x 6 = 8640.

Hence:

The greatest 4 - digit number which is exactly divisible by 20 , 30, 32 , and 36 is 8640.

Answer 2

1]  find the LCM of 20,30,32,36 = 1440

greatest 4-digit no. 9999

2] divide 9999 by LCM =9999 ÷1440 =6.94375

3] now multiply 1440 x quotient = the required nos

⇒1440 *6 = 8640 ANS