Question

find the HCF and Lcm of 24 and 360 and verify HCF × LCm = products of two numbers​

Answer 1

Step-by-step explanation:

HCF of 24 and 360

24 = 2³ × 3¹

360 = 2³× 3² × 5¹

The common in this 2 are 2³ and 3¹

So, HCF = 2³ × 3¹ = 8 × 3 = 24

LCM of 24 and 360

24 = 2³ × 3¹

360 = 2³× 3² × 5¹

Now multiplying the highest exponent prime factors to calculate the LCM of 24 and 360.

So, LCM = 2³ × 3² × 5¹ = 8 × 9 × 5 = 360

Now,

HCF × LCM = 24 × 360

24 × 360 = 24 × 360

8640 = 8640

Therefore; Proved