Q9 of 53 Page 1

Find the LCM and HCF of the pair of integers (510 and 92) and verify that LMC × HCF = Product of the integers.

Given: 510 and 92


To show: LMC × HCF = Product of the integers


Explanation:


Prime factors of 510 = 2 × 3 × 5 × 17


Prime factors of 92 = 2 × 2 × 13


Hence LCM of 92 and 510 = 2 × 2 × 3 × 5 × 17 × 23 = 23460


HCF of 92 and 510 is = 2


LCM × HCF = 23460 × 2 = 46920


Product of two numbers = 92×510 = 46920


Hence from above result we got LCM × HCF = Product of the numbers


More from this chapter

All 53 →
7

Prove that if a positive integer is of the form 6q + 5, then it is of the form 3q + 2 for some integer q, but not conversely.

 8

If a and b are two odd positive integers such that a > b, then prove that one of the two numbers and is odd and the other is even.

 10

Express as a fraction in simplest form.

 11

Prove that for any prime positive integer p, is an irrational number.