Question

show the product of LCM and HCF of 18 and 90 is equal to their product​

Answer 1

Answer:

LCM = 90 and HCF =18

Step-by-step explanation:

Steps to find LCM

Find the prime factorisation of 18

18 = 2 × 3 × 3

Find the prime factorisation of 90

90 = 2 × 3 × 3 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5

LCM = 90

Steps to find HCF

Find the prime factorisation of 18

18 = 2 × 3 × 3

Find the prime factorisation of 90

90 = 2 × 3 × 3 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3

HCF = 18