Question

the L.C.Mof two number is 24 .their HCF IS 6.if one of the numbers is 18 .what is the other number?​

Answer 1

Answer:

8

Step-by-step explanation:

l.c.m * h.c.f = first number* second number

24* 6= 18 * second number

second number= 144/18

=8

Answer 2

$\Huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\Large{\underline{\orange{\sf{Given :}}}}$

• L.C.M of two numbers is 24
• H.C.F of two numbers is 18
• If one of the number is 18

We have to Find Other Number

$\rule{100}{2}$

Let other number be x.

We have formula for these type of questions :-

$\large{\underline{\boxed{\green{\sf{H.C.F \: \times \: L.C.M \: = \: Product \: of \: Numbers}}}}}$

Putting Values

⇒ 6 * 24 = 18 * x

⇒144 = 18x

⇒ x = 144/18

⇒ x = 8

$\Large{\boxed{\red{\sf{Other \: Number \: = \: 8}}}}$

$\rule{200}{2}$

Some Basic Information :-

• L.C.M stands Least Common Multiple.
• H.C.F stands for Highest Common Factor

• Euclid's Division Lemma

Dividend = Divisior * Quotient + Reminder