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Q: How would you determine whether the product of many natural numbers is even or odd?

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If they have no common factors other than 1.

If the two numbers have no prime factors in common, their LCM will be their product. If there are prime factors in common, their LCM will be less than their product.

If the prime factorizations have no factors in common, the LCM is the product of them.

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.

If they have common factors other than one.

If none of the prime factors are in common, the LCM will be the product of the two.

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

If there are no prime factors in common, the LCM will be the product. If there are prime factors in common, the LCM will be less than the product.

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.

If the two numbers have no common prime factors, the LCM will be the product of the numbers.

I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.

No. Natural numbers are the same set or a superset. The answer depends on whether 0 is excluded or included in natural numbers.

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