Question

Find the greatest number of 4-digits which is exactly divisible by 40, 48 and 60.​

Answer 1

Answer:

Happy Father's day

Step-by-step explanation:

The answer is 9840. Hence 9840 is the largest four digit number which is exactly divisible by 40, 48 and 60.

Answer 2

Answer:

40 = 2 x 2 x 2 x 5

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

All three can be factored using 2, 3, and 5. First take the 2. Look for the most times the 2 is multiplied by itself, which is 2 x 2 x 2 x 2

The 3 is used just once and so it the 5, therefore the LCM is 2 x 2 x 2 x 2 x 3 x 5 = 240.

Divide 240 into 9,999, the largest who four-digit number to find that the result is 41 with a remainder of 160. Therefore the largest four-digit number that can be divided by 40, 48, and 60 evenly is 240 x 41 = 9840.