Latest TCS Aptitude Question SOLUTION: Q. The quotient of the least common multiple of the first 46 natural numbers divided by the least common multiple of the first 43 natural numbers

• Placement Papers
• /
• TCS
• /
• Arithmetic

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40031039) TCS question find quotient Keep an EYE

Q. The quotient of the least common multiple of the first 46 natural numbers divided by the least common multiple of the first 43 natural numbers

Asked In TCS sadia khan (10 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (9)   (2) Submit Your Solution Arithmetic

Read Solution (4) :

Krishna Chaitanya  (10 years ago)

Given LCM of 1st 46 natural numbers to LCM of 1st 43 natural numbers
therefore (1*2*3.....*46)/(1*2*3......*43)=LCM of(44,45,46)=45540

Is this solution Helpfull? Yes (15) | No (6)  

C.Aarthi  (10 years ago)

At first natural no's are 1, 2 3,....
L.C.M OF (1,2,3...46)=(2^5 * 3^3 * 5^2 * 7 * 11 * 13 * 17 * 19 * 23 *29 *31 *37 * 41* 43)
BECAUSE l.c.m is generally the highest power of common prime factor...
so L.C.M OF (1,2,3...43)=(2^5 * 3^3 * 5^2 * 7 * 11 * 13 * 17 * 19 * 23 *29 *31 *37 * 41* 43)..
lcm of both 46 no and 43 no are same because they have same prime no... and same no of prime factors...
Ans:: since Nr and Dr. are same
(L.C.M oF 46 NO'S)/(L.C.M oF 46 NO'S)=1
ANS=1

Is this solution Helpfull? Yes (13) | No (2)  

kishorechandra  (10 years ago)

the lcm of first 43 numbers is the product of the numbers which are highest exponent of the prime numbers in the given number set. Both of the number series have same lcm that is 2^5*3^3*5^2*7*11*13*17*19*23*29*31*37*41*43. Therefore the quotient is 1.

Is this solution Helpfull? Yes (8) | No (4)  

PIYUSH PANDEY  (10 years ago)

264
46*45/43*42

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.