Question

solve the problem given ​

Answer 1

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.

Answer 2

✴ola!!✴

Solution :-

HCF of 404 and 96

404 = 2*2*101

96 = 2*2*2*2*2*3

Common Factors = 2*2

HCF of 404 and 96 = 4

LCM of 404 and 96

404 = 2*2*101

96 = 2*2*2*2*2*3

LCM = 2*2*2*2*2*3*101 = 9696

LCM of 404 and 96 is 9696

HCF × LCM = Product of the two numbers

⇒ 4*9696 = 404*96

⇒ 38784 = 38784

LHS = RHS

Hence, it is verified.✔✔

tysm❤