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:This question was previously asked in Show
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Answer (Detailed Solution Below)Option 3 : 9936 Free 10 Questions 10 Marks 7 Mins 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 RRB NTPC Result, Cut Off for Pay Level 5 declared for RRB Chandigarh. For other RRBs, the results will be released soon. Earlier, the RRB had released the tentative schedule for the upcoming DV &Medical Examination for various posts.. The RRB NTPC exam is conducted to fill up a total number of 35281 vacant posts. Candidates who are qualified for the Computer Based Aptitude Test will be eligible for the next round, which will be Document Verification & Medical Exam. The candidates with successful selection under RRB NTPC will get a salary range between Rs. 19,900 to Rs. 35,400. here. Video TranscriptFind 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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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.
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