Question

please answer this question plzz​

Answer 1

AnswEr :

$\:\bullet\:\sf\ HCF(a,b) = 96$

$\:\bullet\:\sf\ LCM(a,b) = 1296$

$\:\bullet\:\sf\ First \: number(a) = 864$

$\:\bullet\:\sf\ Second \: number(a) =?$

$\rule{100}1$

$\large\star{\underline{\boxed{\sf{LCM(a,b) = \frac{a \times\ b}{HCF(a,b)} }}}}$

$\underline{\dag\:\textsf{Let's \: head \: to \: the \: question \; now ;}}$

$\normalsize\dashrightarrow\sf\ LCM(a,b) = \frac{a \times\ b}{HCF(a,b)} \\ \\ \normalsize\dashrightarrow\sf\ 1,296 = \frac{864 \times\ b}{96} \\ \\ \normalsize\dashrightarrow\sf\ b = \frac{\cancel{1,296} \times\ 96}{\cancel{864}} \\ \\ \normalsize\dashrightarrow\sf\ b = 144$

$\rule{100}1$

• Fundametal theorem of Arthemetic : Every composite number can be expressed as a product of primes and this factorisation is unique,apart from the order in which the prime factors occurs.

• Euclid Division lemma : Given positive intergers $\sf\ a \: and \: b$ there exists unique integers $\sf\ q \: and \: r$ satisfying $\sf\ a = bq + r, 0 \leq r < b$