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To find the HCF you first need to break the numbers down into their prime factors. In this case we have:
30 = 2x3x5
45 = 3x3x5
The next step is to identify any common factors. In this case both numbers have 3 and 5 as prime factors. To find the HCF, multiply these together: 3x5 = 15.
To get the LCM, multiply the numbers together then divide by the HCF: 30x45/15 = 90.
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