Question

the lcm (x,18)=36 hcf (x,18)=2 then x is​

Answer 1

Answer:

4

Step-by-step explanation:

x=4

Shortcut Trick

It can be found out by writing down factors of 36 and then finding which value suits.

Aliter

We know that,

HCF*LCM=Product of Two Numbers

2*36=18x

x=4

Answer 2

Given:

The LCM (X,18)=36 and HCF (X,18)=2

To Find:

Find the value X

Solution:

To find the value of X we can use two ways either factorize the numbers and observe which numbers will be included in X to form it or directly use the formula,

N1*N2=LCM*HCF

Let us solve it using both ways first let us prime factorize the numbers

18=2*3*3

36=2*2*3*3

HCF=2

so for X we will for sure require at least one 2 and now because lcm has 2*2 it means it would have gotten it from X so

X=2*2=4

Or using the formula we will get the same answer as

$36*2=18*X\\X=2*2\\=4$

Hence, the value of X will be 4.