Question

find the greatest number of 4 digits which is exactly divisible by 12 16 24 28 and 36

Answer 1

Answer:

144

Step-by-step explanation:

The answer is 9999 divided by 144: 69 (with a fractional remainder that we will discard). That means that 144 will fit into 9999 no more than 69 times (and 70*144=10080 is greater than 9999). Therefore, the greatest 4-digit number exactly divisible by 12, 16, 24, 28, and 36 is the product 144*69.

Answer 2

Answer:

9072

Step-by-step explanation:

For LCM of 12, 16, 24, 28 and 36

12= 3×2×2

16=2×2×2×2

24=2×2×2×3

28=2×2×7

36=2×2×3×3

so, LCM is 2×2×2×2×3×3×7= 1008

And We all know the greatest 4-digit no. is 9999

so, dividing 9999 by 1008 we get,

9 as quotient and 927 as reminder .

So, the largest 4-digit no. divisible by all these nos. is

9999-927= 9072.

Thanks.