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Question 3 (Multiples and Factors] Three numbers are given below. Use prime factorisation to determine the HCF and LCM 1848 132 462​

Sagot :

MrRoyal

Prime factorization involves rewriting numbers as products

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

How to determine the HCF

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

[tex]1848 = 2^3 * 3 * 7 * 11[/tex]

[tex]132 = 2^2 * 3 * 11[/tex]

[tex]462 = 2 * 3 * 7 * 11[/tex]

The HCF is the product of the highest factors

So, the HCF is:

[tex]HCF = 2 * 3 * 11[/tex]

[tex]HCF = 66[/tex]

How to determine the LCM

In (a), we have:

[tex]1848 = 2^3 * 3 * 7 * 11[/tex]

[tex]132 = 2^2 * 3 * 11[/tex]

[tex]462 = 2 * 3 * 7 * 11[/tex]

So, the LCM is:

[tex]LCM = 2^3 * 3 * 7 * 11[/tex]

[tex]LCM = 1848[/tex]

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

Read more about prime factorization at:

https://brainly.com/question/9523814

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