Question

the product of two numbers is 3675.If the HCF is 35 find their LCM word problem ​

Answer 1

★Given:-

• the product of two numbers is 3675.If the HCF is 35

★FIND:-

• LCM=?

SOLUTION:-

we know that

$\implies \red{ HCF×LCM = first \: number \: \times \: second \: number }$

given that product two number 3675

and HCF=35

$\implies \: LCM = \cancel \frac{3675}{35} \\ \\ \\ \implies \:LCM = 105$

therefore LCM=105

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I hope it helps you

Answer 2

Given data:

The product of two numbers is $3675$ and their HCF is $35$

To find:

The LCM of the two numbers

Step-by-step explanation:

Before we solve the given problem, we must understand the relation first,

Product of the LCM and the HCF of two numbers = Product of the two numbers

$\Rightarrow LCM\times HCF=Product\:of\:the\:two\:numbers$

$\Rightarrow LCM\times 35=3675$ [Given, HCF = 35 and the product of the two numbers is 3675]

$\Rightarrow LCM=\dfrac{3675}{35}$

$\Rightarrow LCM=105$

Final Answer:

If the HCF of the two numbers is $35$ with conditions given, their LCM is $105$.