4. Given that HCF(306, 657)=9, find LCM(306, 657).
Ncert Math solutions Chapter 1 Real Numbers Exercise 1.2 Question 3
3. Find the LCM and HCF of the following integers by applying the prime factorization method.
(i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25
Ncert Math solutions Chapter 1 Real Numbers Exercise 1.2 Question 2
2. Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF=product of the two numbers.
(i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54
Ncert Math solutions Chapter 1 Real Numbers Exercise 1.2 Question 1
1. Express each number as a product of its prime factors.
(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
Ncert Math solutions Chapter 1 Real Numbers Exercise 1.1 Question 5
5. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m+1 or 9m+8.
Solution:
Let a be any positive integer and b=3.
According to Euclid’s division lemma, we can say that
Therefore, possible values of a are:
or