WebbL.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. … Webb18 sep. 2024 · 4 is divisible by 1,2,4. 6 is divisible by 1,2,3,6. 15 is divisible by 1,5,15. Now any number being divisible by them should be a multiple of their respective factors. For a number to be divisible by 4.6.15 it should definitely be a multiple of 5 because 5 is the odd one out here. So among squares with multiple of 5 we have. 25= not divisible ...
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Webb23 mars 2024 · Here, we need to find the smallest number So, Smallest number = 12 And this is the number which when divided by 2, 4, 6 gives remainder 0 And it is also the LCM … WebbLet's start by writing out the prime factors of the above numbers. 6 → 2, 3 9 → 3, 3 27 → 3, 3, 3 36 → 4*9 → 2, 2, 3, 3 So any number divisible by each of 6, 9, 27 and 36 need have only 2's and 3's as prime factors. It must have as many of each as... Something went wrong. Wait a moment and try again. Try again
Webb27 juni 2024 · Solution: To find the smallest square number exactly divisible by 2, 4 and 6, first we need to find least number which is exactly divisible by these i.e. LCM. Using …
WebbFind the greatest number which divides 1750 and 2000 leaving 48 and 2 respectively as remainders. The HCF of two numbers is 145 and their LCM is 2175. If one number is 725 … Webb24 feb. 2024 · Answer: Required number is 900. Step-by-step explanation: 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 pair to find least squarer number. 2 = 2 4 = 2 × 2 5 = 5 6 = 2 × 3 9 = 3 × 3 LCM of 2 , 4 , 5 , 6 , 9 = 2 × 2 × 3 × 3 × 5 = 180
WebbSOLUTION: the smallest square number which is exactly divisible by 2,3,4,-9,6,18,36,60. A.900 B.1600 C.3600 D.none of these Algebra: Divisibility and Prime Numbers Solvers …
WebbThe 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. 16. shuttle from pahrump nv to las vegas airportWebb28 juni 2024 · Given: Three numbers 2, 4 and 6 To find: The smallest square number exactly divisible by given numbers Solution: To find the smallest square number exactly divisible by 2, 4 and 6, first we need to find least number which is exactly divisible by these i.e. LCM. Using prime factorization method: 2 = 2 × 1. 4 = 2 × 2 × 1. 6 = 2 × 3 × 1. LCM is … the paragon apartments bloomington mnWebbWhat is the smallest square number which is divisible by 2, 4, 5, 6, and 9? Square Numbers: In mathematics, a square number, also called a perfect square, is a number that... shuttle from pdx to corvallis oregonWebbCorrect option is D) To find least perfect square divisible by 3,4,5,6 and 8. L.C.M of 3,4,5,6,8=120. 120=2×2×2×3×5. In the above factorization 2,3 and 5 are not in pairs so … shuttle from phl to ewrWebbThe smallest number with four digits that can be divided by 2, 3, 4, 5, 6, and 7 is 1050. The smallest number (LCM) that can be divided by these... See full answer below. shuttle from paris airport to disneylandWebb27 mars 2014 · $\begingroup$ The number must be divisible by $9$, $7$, $4$ and $11$. They all have the same bunch of digits, ... LCM of 21, 36, 66 is 3^2, 2^2, 7, 11. So the smallest perfect square should be 3^2 x 2^2 x 7^2 x 11^2 = 213444. Share. Cite. Follow answered Sep 5, 2015 at 14:02. shuttle from pdx to corvallisWebbWe 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. shuttle from parker co to dia