Latest TCS Aptitude Question SOLUTION: Q. The quotient of the least common multiple of the first 86 natural numbers divided by the least common multiple of the first 83 natural numbers is

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Q. The quotient of the least common multiple of the first 86 natural numbers divided by the least common multiple of the first 83 natural numbers is

Asked In TCS mauu (10 years ago)

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C.Aarthi  (10 years ago)

lcm of (1,2,...86) and lcm of (1,2,... 83) is same bcz..
lcm is the highest common prime factors so
lcm of 1st 96 no= 2^6 * 3^4 * 5^2 * 7^2 * 11 *13 *17 *19 *23 *29 *31 *37 *41 *43 *47 *53 *59 *61 *67 *71 *73 *79 *83)
lcm of 83 no are also same bcz they have same prime factors..
so (L.C.M OF 86)/(LCM OF 83) =1
i.e.,quotient=1

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mandira kundu  (10 years ago)

quotient is 1..coz both the lcm will b same

Is this solution Helpfull? Yes (5) | No (1)  

Sagar Vengala  (10 years ago)

lcm(84,85,86)=153510

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