NCERT Class 10 Solutions: Real Numbers (Chapter 1) Exercise 1.2 –Part 2
Q2 Find the LCM and HCF of the following pairs of integers and verify that

26 and 91

510 and 92

336 and 54
Solution:

26 and 91
(Expressing as product of prime factors)
(Expressing as product of prime factors)
Therefore
And
Verification:
Therefore, it is proved that

510 and 92
Therefore (Equation A)
Therefore (Equation B)
From equation A and B
Verification:
Therefore, it is proved that

336 and 54
Therefore (Equation A)
Therefore (Equation B)
From equation A and B
Verification:
Therefore, it is proved that
Q3 Find the LCM and HCF of the following integers by applying the prime factorization method.

12, 15 and 21

17, 23 and 29

8, 9 and 25
Solution:

12, 15 and 21
From the above,
And

17, 23 and 29
From the above,
And

8, 9 and 25
From the above,
And