Question

Hcf and LCM of 18, 24, 36

Answer 1

Answer:

LCM -72

Step-by-step explanation:

HCF-6

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Answer 2

Answer:

The LCM and HCF of the numbers 18, 24, and 36 are 72 and 6 respectively.

Step-by-step explanation:

The given numbers are 18, 24, and 36.

We need to evaluate the HCF and LCM of the given numbers.

To evaluate the LCM and HCF, we need to write the numbers into their factors.

So, we have;

18 = 9 × 2 = 3 × 3 × 2 = $3^{2}$ × 2

24 =  3 × $2^{3}$

and 36 = 3 × 2 × 2 × 3 = $3^{2}$ × $2^{2}$

Now, HCF is the Highest common factor. It is the multiplication of the common factors with their least powers,

So, there the common factors are 2 and 3.

And the least power of 2 is 1 and the least power of 3 is also 1

So, the HCF of 18, 24, and 36 is 2 × 3 = 6.

Now, LCM is the Least common multiple, it is the multiplication of all the multiples with their highest power.

So, the LCM of 18, 24, and 36 is $3^{2}$ × $2^{3}$ = 9 × 8 = 72.

Hence, the LCM and HCF of the numbers 18, 24, and 36 are 72 and 6 respectively.

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