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Answer»

Answer:

→ LCM = 9,696 and HCF = 4.

Step-by-step explanation:

We have,

→ The NUMBERS :- 404 and 96 .

Now,

\because HCF( 404 , 96 ) .

→ 404 :- 2 × 2 × 101 .

→ 96 :- 2 × 2 × 2 × 2 × 2 × 3 .

→ COMMON [ 404 and 96 ] = 2 × 2 .

\therefore HCF [ 404 , 96 ] = 4 .

Now,

\because LCM( 404 , 96 ) .

→ 404 :- 2 × 2 × 101 .

→ 96 :- 2 × 2 × 2 × 2 × 2 × 3 .

\therefore LCM [ 404 , 96 ]

= 101 × 2 × 2 × 2 × 2 × 2 × 3 .

= 9,696 .

VERIFICATION :-

We know that :-

→ HCF × LCM = Product of TWO number.

→ 4 × 9,696 = 404 × 96 .

\therefore 38,784 = 38,784 .✔✔

Hence, it is solved.


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