Question

Find the LCM and HCF of 50 and 225 by prime factorisation and check weather LCM x HCF = Product of the number.

Answer 1

Answer:

Step-by-step explanation:

LCM

Find the prime factorization of 50

50 = 2 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 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 × 5

LCM = 450

HCF

Find the prime factorization of 50

50 = 2 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

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

Therefore, HCF = 5 × 5

HCF = 25

Equation to be tested = LCM x HCF = Product of the numbers

                                    = 25*450 = 225*50

                                     = 11250 = 11250

Therefore the given statement is true