# The HCF of two numbers is 16 and their product is 3072 Find their LCM

Answer

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Hint: Here we will use the formula that product of two numbers is equal to product of their HCF and LCM

Let us consider $a$ and $b$ are the two numbers

So, their product is equal to $a \times b = 3072$

And HCF of two numbers i.e. HCF $(a,b) = 16$

Here we have find the LCM of two number i.e. LCM $(a,b)$

We know that product of two numbers is equal to product of their HCF and LCM

So,

$(a \times b) = HCF(a,b) \times LCM(a,b)$

$3072 = 16 \times LCM(a,b)$

$LCM = \dfrac{{3072}}{{16}}$

$LCM = 192$

Therefore LCM of two numbers is=$192$

NOTE: In this type of problems before solving it directly it is better to go with formula which has direct substitutions with given values as we have done in the above problems that we have taken the formula that has direct substitution which is a simple trick

Let us consider $a$ and $b$ are the two numbers

So, their product is equal to $a \times b = 3072$

And HCF of two numbers i.e. HCF $(a,b) = 16$

Here we have find the LCM of two number i.e. LCM $(a,b)$

We know that product of two numbers is equal to product of their HCF and LCM

So,

$(a \times b) = HCF(a,b) \times LCM(a,b)$

$3072 = 16 \times LCM(a,b)$

$LCM = \dfrac{{3072}}{{16}}$

$LCM = 192$

Therefore LCM of two numbers is=$192$

NOTE: In this type of problems before solving it directly it is better to go with formula which has direct substitutions with given values as we have done in the above problems that we have taken the formula that has direct substitution which is a simple trick

Last updated date: 24th Sep 2023

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