Webb23 mars 2024 · Smallest square number divisible by 4, 9 and 10 = L.C.M of 4, 9 and 10 OR Multiple of L.C.MFinding L.C.M of 4, 9, 10L.C.M of 4, 9, 10 = 2 × 2 × 3 × 3 × 5 = 4 × 9 × 5 = … WebbThere is no smallest such number. But there is a smallest positive integer. Note that − 1 has the desired property. The integers that have the desired property are all the integers of the form − 1 + k M, where M is the least common multiple of the integers 2, 3, 4, …, 10 and k ranges over the integers.
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WebbSolution: L.C.M. of 4, 9 and 10 is 180. Prime factors of 180 = 2 x 2 x 3 x 3 x 5 Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square. … WebbAnswer: Find the smallest sqaure no which is exactly divisibale by 4,5,6,12. Step-by-step explanation: First I think it will help you 1-as we know 4 and 6 are prime factor of 12 so first we will find the smallest square divisible by 12 2-so the smallest square is 36 3-as we know 5 is a prime no it's square must exist in the required no
Webb30 mars 2024 · Smallest number divisible by 2, 4, 6 = LCM of 2, 4, 6 But, we need to find the smallest square number So, We check if LCM is a perfect square If its not, then we … WebbSolution. The correct option is B. 257. LCM of 3,4,5,and 6 is 60. 60 can be written as 2 x 2 x 5 x 3. ⇒ 60 must be multiplied with 5 x 3 to get a perfect square. ⇒ 60 x 5 x 3 = 900. …
WebbWhat is the smallest perfect square divisible by 3, 4, 5 and 6? Find the LCM thus 3 4 = 2x2 5 6 = 2x3 LCM = 2x2x3x5 = 60. You see, in the LCM 2 already squared while 3 and 5 are not. So you need to multiply 60 by 3 and 5 to get 900 which is a perfect square and divisible by 3, 4, 5 and 6. 14 Nrusingha Charan Behera B.Tech (Agril. Webbdivisible by 2 by 3 by 4 by 5 by 6 by 8 by 9 by 10 by 11 What is the divisibility by 4 rule? Answer: Rule: A number is divisible by 4 if the number's last two digits are divisible by 4. …
WebbThe number that will be perfectly divisible by each of the numbers 4, 9 and 10 will be their LCM. LCM of 4, 9, 10 = 2 × 2 × 3 × 3 × 5 = 180. Here, the prime factor 5 does not have a …
Webb10 nov. 2024 · Transcript. Example 8 Find the smallest square number which is divisible by each of the numbers 6, 9 and 15. Smallest square number divisible by 6, 9, 15 = L.C.M of 6, 9, 15 or Multiple of L.C.M Finding L.C.M 6, 9, 15 L.C.M of 6, 9, 15 = 2 × 3 × 3 × 5 = 90 Now, checking if 90 is a perfect square or not Checking if 90 is a perfect square 90 = 2 × 3 × 3 … howard carpendale alles okWebb8 aug. 2024 · LCM of 8, 15, and 20 = 2 × 2 × 2 × 3 × 5 =120. Here, prime factors 2, 3, and 5 do not have their respective pairs. Therefore, 120 is not a perfect square. Therefore, 120 should be multiplied by 2 × 3 × 5, i.e. 30, to obtain a perfect square. Hence, the required square number is 120 × 2 × 3 × 5 = 3600 how many i in hiWebbWe have to find the smallest perfect square divisible by 3, 4, 5 and 6. The least number divisible by 3, 4, 5 and 6 is their LCM. Now, LCM of 3, 4, 5 and 6 = 2 × 2 × 2 × 3 × 5 = 60 . … how many iisc are there in indiaWebbSolution. The correct option is B. 257. LCM of 3,4,5,and 6 is 60. 60 can be written as 2 x 2 x 5 x 3. ⇒ 60 must be multiplied with 5 x 3 to get a perfect square. ⇒ 60 x 5 x 3 = 900. Hence, the smallest perfect square divisible by 3,4 5 and 6 is 900. Suggest Corrections. how many iims in indiaWebbStep 2: Find the least square number divisible by the given numbers. That is 2 and 5 is not able to make their pair. So, to make it perfect square, 90 must be multiplied with 2 × 5 = … howard carpendale happy christmas coverWebb17 juni 2024 · The smallest square number which is exactly divisible by 2, 4 and 6 is 36 . Also, L.C.M of 2, 4b and 6 is 12 . Prime factorization of 12 = 2 × 2 × 3 . Now, for making it a perfect square we have to multiply it by 3 . Therefore, 12 × 3 = 36 (iv) We know that, A given number is a perfect square having n digits, where n is odd. how many iit branches in indiaWebb31 mars 2024 · Smallest square number divisible by 6, 9, 15 = L.C.M of 6, 9, 15 or Multiple of L.C.M Finding L.C.M 6, 9, 15 L.C.M of 6, 9, 15 = 2 × 3 × 3 × 5 = 90 Now, checking if 90 is … how many i in scrabble game