Question

if lcm of a and 18 is 36 and hcf of a and 18 is 2, then find the value of a​

Answer 1

Answer:

Given, LCM = 36

HCF = 2

First number = a

Second number = 18

we know that ,

LCM × HCF = a × b

36 × 2 = a × 18

a = 4

hope it helps

please mark my answer as brainliest

Answer 2

Question:

if LCM of a and 18 is 36 and HCF of a and 18 is 2, then Find the value of a.

Given:

• LCM(a,18)= 36
• HCF(a,18)= 2

To Find:

• Value of a.

Concept:

Here, we are given LCM and HCF of two numbers. Where, one number is given and second number is in form of variable. We have to find the other number. We know that the product of HCF and LCM is equal to the product of number. So, by equating all the values. We can find the other number.

________________________________

★ Formula Used:

$\mapsto\mathsf{HCF(a,b)\times LCM(a,b)=a\times b}$

Where,

•a and b are the integers.

________________________________

Solution:

LCM and HCF of a and 18 are 36 and 2 respectively.

Equating all values in Formula. We get,,

$\rightarrow\mathsf{HCF(a,18)\times LCM(a,18)=a\times 18}$

$\rightarrow\mathsf{2\times 36=a\times 18}$

$\rightarrow\mathsf{72=a\times 18}$

Dividing 72 by 18. We get,

$\rightarrow\mathsf{\large{\frac{72}{18}}=a}$

$\rightarrow\mathsf{a=4}$

Required Answer:

Value of a is 4.

________________________________

More to Know:

• HCF stands for Highest common Factor.
• LCM stands for Least common Multiple.