Question

Help Urgent. Find the greatest number of four digits which is exactly divisible by 45 and 50. I will make you as brainliest.

Answer 1

Step-by-step explanation:

9532 is greatest number of four digits which is exactly divisible by 45 and 50.

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Answer 2

Answer:

The greatest number of four digits which is exactly divisible by 45 and 50 is 9900.

Step-by-step explanation:        

Given to find the greatest number of four digits which is exactly divisible by 45 and 50.  

Let us first find the L.C.M of 45 and 50 using prime factorization method.

Prime factorization of 45 $= 3 \times 3 \times 5=3^{2} \times 5$

Prime factorization of 50 $=2 \times 5 \times 5=2 \times5^{2}$

Therefore, the L.C.M of 45 and 50 is

$3^{2} \times 2 \times5^{2}=450$

The greatest four digit number is 9999.

Divide the number 9999 with 450, that leaves the remainder 99.

Now subtract the remainder 99 from 9999, that gives $9999 -99=9900$

So, the greatest number of four digits which is exactly divisible by 45 and 50 is 9900.

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