Question

find the HCF and LCM of 15,60 Verify that their product is equal to the product of the given number​

Answer 1

answer is 60

............

Answer 2

Step-by-step explanation:

Given: 15,60

To find: Find the HCF and LCM of 15,60.Verify that their product is equal to the product of the given number.

Solution:

Tip:

$\boxed{\bf LCM(a,b) \times HCF(a,b) = a \times b}$

Step 1: Do prime factorisation of given numbers

$15 = 3 \times 5$

$60 = 2 \times 2 \times 3 \times 5$

Step 2: Write LCM and HCF

$HCF(15,60) = 3 \times 5$

$HCF(15,60) = 15$

and

$LCM(15,60) = {2}^{2} \times 3 \times 5$

$LCM(15,60) = 60$

Step 3: Write the verification process.

$LCM(15,60) \times HCF(15,60) =60\times15$

$LCM(15,60) \times HCF(15,60) =900$

Hence proved.

Final answer:

$\bf LCM(15,60) = 60$

$\bf HCF(15,60) =15$

Verification is done.

Hope it helps you.

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