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Q: What do you know about the product if one of the factors is less than one?

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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.

The factors are greater than the product.

If there are three factors, then one of them being less than 1 does not imply anything about the product of all three and either of the other two factors. For example, 2 = 0.5*1*4 where the first factor is less than 1. The product 2 is less than one of the other factors but bigger than the last.

When their GCF is greater than 1. When they have prime factors in common.

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.

Pairs with common factors other than 1.

23 is a prime and so its only factors are 1 and 23. The product will be smaller than 23 but it is not possible to be certain how the product will compare with 1.

Always

Products will be greater unless your number set includes a number less than 1.

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 fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.

when the numbers are between 0 and 1

When its multiplied by anything greater than one

If they have common factors other than one.

If there are no prime factors in common, the LCM will be the product of the two numbers. If common factors exist, the LCM will be less. It will never be more.

yes because it is greater than 1

No, you cannot. The answer can be greater than (or less than) neither, one or both numbers.For example,-4.5 and -2.2 are both less than 1. Their product is 9.9 which is greater than both.-4.5 and 0.2 are both less than 1. Their product is 0.9 which is less greater than one and less than the other.0.5 and 0.2 are both less than 1. Their product is 0.01 which is less than both.

That's always the case.

When one of the integers is negative and the other is not.

When one of the integers is negative and the other is not.

If the question is in the context of integers and prime factorisation, then it is the number 1. If the question is about the product of two real numbers, the answer is when both factors are between 0 and 1, or when one of the factors is greater than 1 and the other is negative.

product of a fraction less than 1 and a whole number greater than or less than the whole Number

This is a clever question. I would say: "Always". To be more precise: The product is never greater than either factor, and if neither factor is ' 1 ', then the product is always less than both.

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.