Find the greatest number of four digits which is exactly divisible by 40, 48 and 60

The greatest number of four digits which is exactly divisible by 24, 36 and 54 is:

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SSC CPO Tier- I Previous Paper 21 (Held on: 15th March 2019 Shift 1) 

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  1. 9990
  2. 9924
  3. 9936
  4. 9960

Answer (Detailed Solution Below)

Option 3 : 9936

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10 Questions 10 Marks 7 Mins

Find the greatest number of four digits which is exactly divisible by 40, 48 and 60

Find the greatest number of four digits which is exactly divisible by 40, 48 and 60

The greatest number of four digit is 9999.

LCM of 24, 36 and 54 = 2 × 2 × 2 × 3 × 3 × 3 = 216

The greatest number of four digit which exactly divisible by 24, 36, and 54

9999 – 63 = 9936 

Last updated on Sep 21, 2022

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Video Transcript

Find the greatest number of 4 of 4 digits, which is exactly divisible by 4048 and 60 point well. The first thing we need to do is find the least common multiple for each 1 of these, and to do that, let's break them down into their prime numbers. I will say: 40 is 4 times, 104 is 2 times. 210 is 2 times. 548 point went to say it's 6 times 8. That will be 2 times 32 times 4 and 2 times. 2.60 is 6 times. 10 there'll be 2 times 3 and 2 times 5. So i want to say: 40 is 2 times 2 times 2 times 548 is going to be 2. I got that 2 times 3. Well, i don't have any 3 written, so i'm going to put it over here to the side and then i have 2. So we'll put it underneath this 22 underneath this 22. I need to put out to the side because i don't have any more 2 and then 60 is going to be 2. So i won put that here. 3 put that under the 32 under the 2 and 5 under the 5, so oh least, common multiple, i'm simply gonna multiply the numbers in each column, 22253 and 2. So we multiply those together. So that's gone, be 6 times. 5 is 30612240 point well. 240. Is not a 4 digit number, so i need to see how much can i i need to make this a 4 digit number. Anything i multiplied by 240 is going to be divisible by 4048 and 60 point. So if i multiply this by 10, i get 2400 point. Well, that's not going to be the largest. I can multiply this by what i can multiply that by 3. If i multiply that by 3, then we're going to have 007200 point well, can i give anything bigger? So what if i take 240 and multiply it by 40 point? Well, that would be 06. There'S 9600 point: i let's see, i think we might can get by 41 point. Let'S try it. Let'S track 4340 times 41 point there'll be 240, it's gonna be 016 and 9048 and 9 point there. You go so when i take my least common multiple and keep multiplying it till i get the biggest 4 digit number. We ended up, multiplying it. Byty 1 point.


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Find the greatest number of four digits which is exactly divisible by 40, 48 and 60

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Updated On: 27-06-2022

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Find the greatest number of four digits which is exactly divisible by 40, 48 and 60

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Which is the greatest 4 digit number that is exactly divisible by 48 & 60?

Answer: The required number is 9996 which is exactly divisible by 40, 48 and 60. Step-by-step explanation: To find : The Greatest 4-digit number exactly divisible by 40, 48 and 60?

Which is the greatest number exactly divisible by 40 60 72?

hence, 9840 is the greatest 4 digit number divisible by 40,60 and 72.

What greatest 4 digit number is exactly divisible by 40?

So, largest 4 digit no. exactly divisible by 40 is 9960.

What is the 4 digit greatest number divisible by 48?

What is the last four digit number divisible by 48? The last 4-digit number divisible by 48 is 9984. This is sometimes also referred to as the largest four digit number divisible by 48 or the greatest 4-digit number divisible by 48.