Question

find the lcm and hcf of 765,510,408 using prime factorization method using tree method

Answer 1

Question :- find the lcm and hcf of 765,510,408 using prime factorization method using tree method .

Solution :-

As we know prime factorization method using tree method is finding prime factors of given numbers and than finding LCM and HCF .

• LCM is highest power of prime factors.
• HCF is least power of common prime factors.

So,

Prime factorization of 765 , 510 and 408 is :-

→ 765 = 3 * 3 * 5 * 17 = 3² * 5 * 17

→ 510 = 2 * 3 * 5 * 17

→ 408 = 2 * 2 * 2 * 3 * 17 = 2³ * 3 * 17

Now,

→ LCM (Highest powers) = 2³ * 3² * 5 * 17 = 8 * 9 * 85 = 6120 (Ans.)

And,

→ HCF (Least power or common in all) = 3 * 17 = 51 (Ans.)

Hence, LCM and HCF of 765, 510, 408 is 6120 and 51.

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Answer 2

Step-by-step explanation:

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