Webb17 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. 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.
Did you know?
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. … WebbBest answer Given numbers = 6, 9, 15 and 20 The smallest number divisible by 6, 9, 15 and 20 is their L.C.M. i.e. 180 Resolving the L.C.M. as prime factors we get, 180= 2 × 2 × 3 × 3 × 5 To make it perfect square multiply by 5 then it becomes, 180= 2 × 2 × 3 × 3 × 5 × 5 Which implies 180 × 5 = 900
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. Hence, the smallest perfect square divisible by 3,4 5 and 6 is 900. Suggest Corrections. Webb22 sep. 2024 · What is the smallest square number divisible by 2 4 5 6and9? Therefore, 5400 is the least perfect square divisible by 2,4,5,6 and 9. Explore more such questions and answers at BYJU’S. Is 5 a square number? The square root of a number is a number that, when multiplied by itself, equals the desired value.
WebbSolution: We 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 We observe that 3 and 5 do not occur in pairs. So, 60 is not a perfect square. Now, 60 must be multiplied by 5 × 3 to get a perfect square = 60 × 3 × 5 Webb8 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
WebbThe least perfect square number exactly divisible by 4, 5, 6, 15 and 18. Concept used: LCM method. Calculation: According to the question, LCM of 4, 5, 6, 15 ... Sum of the squares of three consecutive natural numbers is 434. Find the smallest number of the three: Suggested Test Series. View All > Agniveer Army GD 2024 Mock Test (New) 110 Total ...
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 … cms-855 form for revalidationWebbThe smallest square number divisible by 10,16 and 24 is : Question The smallest square number divisible by 10,16 and 24 is : A 900 B 1600 C 2500 D 3600 Medium Solution Verified by Toppr Correct option is D) 10=2 1×5 116=2 424=2 3×3 1 Now check the options:- 3600=2 4×3 2×5 2=3600 Was this answer helpful? 0 0 Similar questions cafethejokerWebbSolution. 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. … cms 855i form medicareWebbIn other words, we are looking for all the possible numbers in this equation: Number / 9 = Integer. As you have probably figured out by now, the list of numbers divisible by 9 is infinite. Here is the beginning list of numbers divisible by 9, starting with the lowest number which is 9 itself: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, etc. cms 855a change of informationWebb27 feb. 2024 · Given = 2 , 4 , 5 , 6 , 9 We need to find Smallest Square number divisible by given numbers. Prime Factorization of 2 , 4 , 5 , 6 , 9 2 = 2 4 = 2 × 2 5 = 5 6 = 2 × 3 9 = 3 × … cms 855 reassignment formWebbAnswer: 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 cms 855o form pdfWebb23 feb. 2024 · Given numbers are 2 , 4 , 5 , 6 , 9. We need to find Smallest Square number divisible by given numbers. First we find LCM of given numbers and then complete the … cafe the garden 伊奈