1.

(c) an irrational number(d) none of theseat is the least number that is divisible by all the natural numbersfrom 1 to 10 (both inclusive)?(a) 100 (b) 1260(c) 2520(d) 5040

Answer»

Answer:c) 2520

Explanation:We want LCM(1,2,3,4,5,6,7,8,9,10)We can ignore 1, since any counting number is divisible by 1.We prime factor each of the counting numbers from 2 to 102 = 23 = 34 = 2*25 = 56 = 2*37 = 78 = 2*2*29 = 3*3

10 = 2*5The LCM of all those must have as many factors ofeach prime that appears in any factorization2 appears at most 3 times as a factor of 83 appears at most 2 times as a factor of 95 appears at most 1 time as a factor if 5 and 107 appears at most 1 time as a factor of 7

So the LCM has3 factors of 2, 2 factors of 3, and 1 facor each of 5 and 7LCM = 2*2*2*3*3*5*7 = 2520

option C 2520.

Option (C) is correct answer

c. is the correct answer


Discussion

No Comment Found

Related InterviewSolutions