PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo

7. Relationship between the numbers and their HCF and LCM

The product of the two given numbers is equal to the product of their HCF and LCM.

That is,

$\text{Product of given numbers} = \text{HCF} \times \text{LCM}$

Example:

Find HCF and LCM of two numbers

$6$ and

$16$ and verify the relationship between them.

Solution:

HCF:

HCF of

$6$ and

$16$

$=$

$2$

LCM:

LCM of

$6$ and

$16$

$=$

$2 \times 2 \times 2 \times 2 \times 3 = 48$

Relationship between HCF and LCM:

$\text{Product of given numbers} = \text{HCF} \times \text{LCM}$

$6 \times 16 = 2 \times 48$

$96 = 96$

Both are the same.

Hence, the relationship between LCM and HCF is verified.

Did you find an error?