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To find the LCM you first have to express the numbers as the product of their prime factors:
52 = 2x2x13
24 = 2x2x2x3
The next step is to find the HCF. In this case, the HCF is 4. Finally, you multiply the numbers together and divide by the HCF:
52x24/4 = 312
And so the LCM of 52 and 24 is 312.
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