Sensible estimates can change the numbers to ones which you can work with more easily mentally.
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To estimate the product of 87 times 403, you can round both numbers to the nearest tens or hundreds. Rounding 87 to 90 and 403 to 400, you get 90 x 400 = 36,000. This is a rough estimate of the product of 87 times 403.
By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.
To estimate 467.6 multiplied by 8, you can round each number to make the calculation easier. Rounding 467.6 to 470 and 8 to 10, you can multiply these rounded numbers (470 x 10) to get an estimated product of 4700. This estimation provides a quick approximation of the actual product without the need for precise calculations.