Webb7 apr. 2024 · Hence the number 900 is the smallest square number divisible by each number 4, 9, and 10. Note: LCM of given numbers is exactly divisible by each of the numbers. During the LCM calculation, students must know the tables of various numbers, and they have to perform the operations step by step. Lastly, they have to multiply all the … WebbFind smallest number when divided by $2,3,4,5,6,7,8,9,10$ leaves $1,2,3,4,5,6,7,8,9$ remainder.How to go about solving this problem?? Stack Exchange Network Stack …
Q9 Find the smallest square number that is divisible by …
What is the smallest square number which is divisible by 2, 4, 5, 6 and 9? Solution Step 1: Find the LCM of given numbers. Apply the prime factorization method to calculate the lcm of the given numbers. 2 = 1 × 2 4 = 1 × 2 × 2 5 = 1 × 5 6 = 1 × 2 × 3 9 = 1 × 3 × 3 So, the required lcm is: 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 how far is it from san luis obispo to carmel
What are square numbers factors? – Sage-Answers
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. 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 WebbFind the smallest square number that is divisible by each of the numbers 4, 9 and 10.... Doubtnut 2.72M subscribers Subscribe 29K views 4 years ago Question From - NCERT Maths... how far is it from san francisco to redwoods