Question

Lcm of 2 numbers is 5040 and hcf is 12 if one is 144 find other

Answer 1

Answer:

420

Step-by-step explanation:

use formula

HCF*LCM = product of two numbers(first number * second number)

so one number is given as 144

5040*12 = 144*second number

x = 420

Answer 2

$\begin{gathered}\frak{Given}\begin{cases}& \sf{HCF\;of\;two\; Numbers =\frak{12}} \\ &\sf{LCM\;of\;two\;numbers=\frak{5040}} \\ &\sf{One\;of \: the \: number\;is=\frak{144}}\end{cases}\end{gathered}$

• Need to find: The other number?

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• ❍ Let the other required number be x respectively.

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$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$

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$\bf{\star}\;\boxed{\textsf{\textbf{\pink{Product\;of\;two\; Numbers\;=\;LCM \times \: HCF}}}}$

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• Therefore,

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$\begin{gathered}:\implies\sf x \times 144 = 12 \times 5040\\\\\\:\implies\sf x \times 144 = 60480 \\\\\\:\implies\sf x = \cancel\dfrac{60480}{144} \\\\\\:\implies{\underline{\boxed{\pink{\frak{x = 420}}}}}\;\bigstar\end{gathered}$

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$\therefore{\underline{\textsf{Hence, the other required number is {\textbf{420.}}}}}$

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$\begin{gathered}\qquad\quad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}}\\ \\\end{gathered}$

• HCF is (Highest common factor) which is the greatest factor b/w given any numbers.

• HCF is (Highest common factor) which is the greatest factor b/w given any numbers.LCM is (Lowest common factor) which is the least number and LCM is exactly divisible by two or more numbers.