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Q.

Find the smallest square number which is divisible by each of the number https://lh3.googleusercontent.com/tbfqhfTmeTeMH3Q9Tad1eCQEAnJa6tEY7Oou6BMyVYYiW8WcuIM0WjR4QKKMdqeL8tt62gOVPBKFXeIRC6QPlwzR1y_8QDzaAV3LeHXDJd_pG3Vez3QplCDz9Ipv2cGeEp4QIlNkLX-WnOxs_AG3hw


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a

https://lh6.googleusercontent.com/wXd1GSpPbBb5ywASwTtB0O6MxMN7HJIFOhfyTyMRR8ptLa-qgUO6OCKW5gXh16bBAsbE-OmKOoAleW5QvUAYjBF6-A8NU9H6oZwbYceoDr4zthP6EfXTrykJxrPRhfjiJgC5GeBDL3WbYg9_UjU9ng

b

https://lh6.googleusercontent.com/tEa2Qf7jqxMJ5Z72EbH6Vj8o9Ilj4DOfcczUGWkzDL2mTjuofE5drvAkosxCa78htjcGu0p8ZYrnSZJqmqxuHA_xiiFsfE8gaUqdJFJFAiNYYFFCaQmblRp-bX20L3-S0ROCxNlQBe4lsXo8ld_JrA

c

https://lh6.googleusercontent.com/v27O9ETczcKYFv6z6U8oxg1mzbmTwrtkewDSNszrX2hyDs7lwY0KtbTJyqRmhJSDKuwWTVcQuF34B-0C0MKYBAQZJzBgeAB7SA-GvC0KW_XLZT4Fwv6yvAHPaVSxbbyU2_IXcWt07p6482Z63uolYA

d

https://lh4.googleusercontent.com/2XqZMCUAmB8o2tQujPp3ZpPLB_hsIaeGKB9utrafDn4n_7PmhJqbjfJFPItbgg499mB-XBoUrcVopMZTujnc0Lz_frx92-I0iQ9S0FQqt4PzYd_e5n4HwTfvMqVBISC0cm_BJdmXWEj3pKLJKd8wbA       

answer is A.

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Detailed Solution

Concept- Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers. Finding the LCM of a given collection of numbers can be done in a variety of ways. Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.
We find the LCM of three given numbers and then using prime factorization we find the prime factors.
After getting prime factorization of the given number L.C.M is https://lh3.googleusercontent.com/q8t11Jr3clFP19WLhqsNgmcuX8esmNcIfgA_QnQat9PVEwiPWU_Q2OikllP2jd6OlahDtaM6WOGaqSq52HqaAenxKld94iRpb8eOPEz4BE-jvwWK7meIXdCFakgAjmvrHU1eBngtwgmk3J2inSBzkgWrite  prime factor in the form of their power as https://lh3.googleusercontent.com/zJIahN9N2QxMLNpxZ57OtMoqpw7n1qDONIp4nI3S5QDU7B8np6yAf83pW-xBnei1c3Kx5RJBwdEoK8Lcftc4wNDoVqfAdHWhL4CHu3gX_h6hiTKMQUhxLAtS07hw-HyMTtDXuGazXP0_Kw9Z5CsETQhttps://lh5.googleusercontent.com/_EmGtjB-OQlr4psIhYftU8H_IMxiwhQPSMR6Iw1eqvF3mRZnYW_OWxj72sUsoRgqBc2ZV-OwwzLBKP8QFuw1KIABHTNA06cwdQn8-D-YLVPO6awF2NjmNEYoro7iWSAYMrrRV9U8AJL-QQVEI9F-9wHence, the correct answer is option number 1) 900
 
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