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There are several ways of calculating LCMs. I like the "Product/HCF" method, which is easiest with two numbers but can be used for these four numbers:
By inspection, LCM of 45 & 10 = 90, LCM of 12 & 8 = 24 so now find the LCM of 90 & 24:
90 = 2 x 3 x 3 x 5; 24 = 2 x 2 x 2 x 3. The common factor is 2 x 3 ie 6 so the LCM is the product of 90 & 24 divided by 6 which is 360.
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