WebbDetermine the smallest 3-digit number which is exactly divisible by 6, 8 and 12 Solution: We will be using the concept of LCM (Least Common Multiple) to solve this. We know that the smallest 3-digit number is 100 Let's find the LCM of 6, 8, and 12 as shown below. As we can observe from the division method, LCM of 6, 8, and 12 is 2 × 2 × 2 × 3 = 24 WebbTo find out the largest 3-digit number which is exactly divisible by 8, 10 and 12. first let us calculate the L.C.M 8, 10 and 12. L.C.M of 8, 10, 12 = 2 x 2 x 2 x 3 x 5. Hence, LCM of 8, …
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WebbSolution: Yes, if the number is divisible by 9, we can conclude that it is divisible by 3 as well (as 3 is a factor of 9). Since it is divisible by 3 and 4, it is divisible by 12 (once again, the rule of factors applies). Example 3: The sum of the … WebbThe smallest 4− digit number exactly divisible by 12,15,20 and 35 is ............. A 1,000 B 1,160 C 1,260 D none of these Medium Solution Verified by Toppr Correct option is C) The smallest 4-digit =1000 Now L.C.M of 12,15,20and35 2∣12,15,20,35 2∣6,15,20,35 3∣15,5,35 5∣1,5,5,35 7∣1,1,1,1 1,1,1,1 L.C.M.=2×2×3×5×7=420 We divided 1000 by 420
WebbThe smallest or lowest 3-digit number divisible by 10 is the first number on the list above (first 3 digit number divisible by 10). As you can see, that number is 100. What is the … WebbThe smallest or lowest 3-digit number divisible by 3 is the first number on the list above (first 3 digit number divisible by 3). As you can see, that number is 102. What is the largest three digit number divisible by 3? The largest or greatest 3-digit number divisible by 3 is the last number on the list above (last 3 digit number divisible by 3).
Webb30 maj 2024 · As such, since $100a + 10b$ is the same for all $8$ numbers, to have it be divisible by their $8$ last digits means the $\operatorname{lcm}$ of those digits must divide $100a + 10b$. Next, as you stated, the first ending digit must be either $1$ , so it goes to $8$ , or $2$ , in which case it goes to $9$ . WebbDetermine the smallest 3-digit number which is exactly divisible by 6, 8 and 12. Solution The least common multiple (LCM) of 2 or more numbers is the smallest number that …
Webb23 mars 2024 · Lets find smallest number divisible by 8, 10, 12 Smallest number divisible by 8, 10, 12 = LCM of 8, 10, 12 LCM of 8, 10, 12 So LCM = 2 × 2 × 2 × 3 × 5 = 120 ∴ 120 is the smallest number divisible by 8, 10, 12 Now, We need to find greatest 3-digit number divisible by 8, 10 and 12 Greatest 3 digit number = 999 We divide 999 by 120 So …
Webb25 feb. 2024 · You can sum both its part and check if that is divisible by 11111. A good idea is to look at a simpler case, let's say your number has 4 different digits from 0 to 3, and you want the bigger and smaller one that you can divide by 11. Then the sum of your two 2 digits number has to be 11, 22, 33, 44, 55, 66, or 77. dogezilla tokenomicsWebbIt is divisible by 2 and by 3. [6] 1458: 1 + 4 + 5 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6. Sum the ones digit, 4 times the 10 digit, 4 times the 100s digit, 4 times the 1000s digit, etc. If the result is divisible by 6, so is the original number. (Works because. dog face kaomojiWebb24 feb. 2024 · A good idea is to look at a simpler case, let's say your number has 4 different digits from 0 to 3, and you want the bigger and smaller one that you can divide by 11. … doget sinja goricaWebbDetermine the greatest 3 -digit number exactly divisible by 8, 10 and 12. Easy Solution Verified by Toppr LCM of 8,10 and 12 LCM =2×2×2×3×5=120 We have to find the greatest 3 -digit multiple of 120. It can be seen that 120×8=960 and 120×9=1080. Hence, the greatest 3 -digit number exactly divisible by 8,10 and 12 is 960. Was this answer helpful? 0 0 dog face on pj'sWebbAnswer: Since the difference between every two consecutive numbers is 12, the sequence is an A.P. The smallest 3-digit number divisible by 12 is 108 and the largest 3-digit number divisible by 12 is 996 Last no. = first no. + (n - 1)d Therefore, 996 = 108 + (n - 1) x 12 therefore 996 = 108 ... dog face emoji pngWebb120 is the smallest number which is divisible by 8,10 and 12. any number which is divisible by 8,10 and 12 will be a multiple of 120. So, the greatest 3-digit number divisible by 8,10 and 12 is =120×8=960. dog face makeupWebb26 mars 2024 · 4.. Determine the smallest 3-digit number which is exactly divisible by 6,8 and 12 5. Determine the greatest 3-digit number exactly divisible by 8,10 and 12 . Viewed by: 5,517 students. Updated on: Mar 26, 2024. dog face jedi