solve the problem given
Attachments:
Answers
Answered by
2
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.
Answered by
5
✴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❤
Similar questions