Question

The LCM of two numbers is 3456 and HCF is 48. If one of the numbers is 432, then what is the other number? Please show the steps also. Meaningless and useless answers will be deletedand your points will be lost

Answer 1

Hope it's help you

LCM (a,b) × HCF (a,b) = a×b

3456 × 48 = 432 × b

$\frac{3456 \times 48}{432} = b$

$b = 394$

Follow me

Mark me as Brainilist

Answer 2

$\sf Given \begin{cases} & \sf{LCM\:of\:two\:numbers = \bf{3456}} \\ & \sf{HCF\:of\:two\:numbers = \bf{48}} \\ & \sf{One\:number\:is = \bf{432}} \end{cases}$

To find: Other number?

⠀⠀______________________________

☯ Let the other number be x.

⠀

$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

• The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers

⠀

$\star\;{\boxed{\sf{\pink{LCM \times HCF = Product\:of\:the\:numbers}}}}$

$:\implies\sf 3456 \times 48 = 432 \times x$

$:\implies\sf 165888 = 432 \times x$

$:\implies\sf x = \cancel{ \dfrac{165888}{432}}$

$:\implies{\underline{\boxed{\frak{\purple{x = 384}}}}}\;\bigstar$

$\therefore\:{\underline{\sf{Hence,\;the\;other\:number\;is\; {\textbf{\textsf{384}}}.}}}$

⠀⠀______________________________

$\qquad\qquad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}}$

• HCF (Highest common factor) = The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers.

• LCM (Least common multiple) = The least or smallest common multiple of any two or more given natural numbers are termed as LCM.