Question

2. The ratio of two numbers is 3:4 and their HCF is 4 then what will be their LCM.​

Answer 1

Answer:

I think LCM is 3 × 4 = 12

Step-by-step explanation:

Answer is 12

Answer 2

$\mathfrak{\pink{\large{Given!!!}}}$

The ratio of two is 3:4 and their HCF is 4

$\bf{Let\:the\:ratio\:of\:the\:two\:number\:be\:3x\:and\:4x}$

If the two numbers become 3x and 4x then the HCF would become x. But as we are given with HCF as 4, It means x = 4

Now putting the value of x in the numbers we assumed:-

$\underline{\boxed{\rm{\pink{1st\:number = 3x = 3\times4 = 12}}}}$

$\underline{\boxed{\rm{\blue{2nd\:number = 4x = 4\times 4 = 16}}}}$

$\underline{\boxed{\red{\rm{\therefore The\:two\:numbers\:are\:12\:and\:16}}}}$

Now,

Taking LCM

$\rm{Factors\:of\:12 = 2\times 2\times 3}$

$\rm{Factors\:of\:16 = 2\times 2\times 2\times 2}$

Taking LCM,

$\mathbb{LCM = 2\times 2\times 2\times 2\times 3}$

$\underline{\boxed{\mathbb{\therefore LCM = 48}}}$

$\tt{\green{Hope\:it\:helps!!!}}$

$\red{\boxed{\blue{\boxed{\underline{\pink{\tt{Please\:Mark\:as\:brainliest!!!!}}}}}}}$