question_answer

Find LCM and HCF of 3930 and 1800 by prime factorisation method.

Answer:

By prime factorization method, Factors of 3930 and 1800 are,

2 3930 3 1965 5 655 131 131 1

2 1800 2 900 2 450 3 225 3 75 5 25 5 5 1

So,                   \[3930=2\times 3\times 5\times 131\]

\[1800=2\times 2\times 2\times 3\times 3\times 5\times 5\]

Then,                \[\text{HCF}=2\times 3\times 5=30\]

and,                              \[\text{LCM}=2\times 3\times 5\times 131\times 2\times 2\times 3\times 5\]

\[=235800\]