Math, asked by Anonymous, 2 months ago

Which two consecutive even numbers have and LCM of 180?

Answers

Answered by ᏞovingHeart
44

Question:

Which two consecutive even numbers hαve & LCM of 180?

Solution:

{\bullet \; \sf{The \; LCM \; of \; two \; consective \; even \; numbers \; is \; 180^\circ .}}

{\bullet \; \sf{The \; HCF \; of \; two \; consective \; even \; numbers \; is \; 2.}}

{ \rightarrow \sf{The \; product \; of \; two \; numbers = HCF \times LCM = 2 \times 180 = 360}}

★ Fαctors of 360

  • 360 = 36 × 10
  • 360 = 18 × 20
  • 360 = 9 × 40
  • 360 = 4 × 90
  • 360 = 2 × 280

Of these fαctors (18 × 20) 18 & 120 αre consective even numbers.

Answer:

The required consective even numbers αre 18 & 20.

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  • Twin prime numbers —

If the difference between two co-prime numbers is 2, the numbers αre sαid to be twin prime numbers.

  • A fαctor of number is less thαn or exαct divisor of thαt number.
  • Eαch fαctor of α number is less thαn or equαl to thαt number.
  • HCF: Highest Common Fαctor
  • LCM: Lowest Common Multiple
Answered by believeyourself
3

Answer:

Hence, the two consecutive even numbers are18 and 20.

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