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To find the LCM of two numbers, you first split them into their prime factors:
30 = 2x3x5
75 = 3x5x5
Next you need to work out the HCF. Here, the HCF will be 3x5 = 15.
Finally, you multiply the numbers together and divide by the HCF. 30x75/15 = 150. Therefore the LCM of 30 and 75 is 150.
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