Question

The LCM and HCF of two numbers are 360 and 12 respectively . if the bigger number is 72 find the smaller number.​

Answer 1

Step-by-step explanation:

✦ Question :

The LCM and HCF of two numbers are 360 and 12 respectively . if the bigger number is 72 find the smaller number.

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✦ Given Data :

LCM = 360

HCF = 12

ONE NUMBER = 72

OTHER NUMBER = ?

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$\huge\fbox\red{A}\fbox\orange{n}\fbox\purple{s}\fbox\green{w}\fbox\pink{e}\fbox\blue{r}$

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★ Let the smaller number be x.

$\green{\fbox{According to the question,}}$

★ LCM × HCF = 1st no. × 2nd no.

$\implies 360 × 12 = 72 × x$

$\implies 4320 = 72x$

$\implies x = 4320/72$

$\implies x = 60.$

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✦ Final Result :

$\bf\pink{The \: smaller \: number \: is \: 60.}$