Question 3 (Multiples and Factors] Three numbers are given below. Use prime factorisation to determine the HCF and LCM 1848 132

Question

2 years ago

11

462

1 answer:

Ilia_Sergeevich [38] · Answer 1 · 2023-07-04T08:39:21+03:00

Prime factorization involves rewriting numbers as products

The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively

<h3>How to determine the HCF</h3>

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

$1848 = 2^3 * 3 * 7 * 11$

$132 = 2^2 * 3 * 11$

$462 = 2 * 3 * 7 * 11$

The HCF is the product of the highest factors

So, the HCF is:

$HCF = 2 * 3 * 11$

$HCF = 66$

<h3>How to determine the LCM</h3>

In (a), we have:

$1848 = 2^3 * 3 * 7 * 11$

$132 = 2^2 * 3 * 11$

$462 = 2 * 3 * 7 * 11$

So, the LCM is:

$LCM = 2^3 * 3 * 7 * 11$

$LCM = 1848$

Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively

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