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When the numbers have a common factor (other than 1).

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When they have a common prime factor.

Q: When will the product of given numbers be greater than the LCM of the same given numbers?

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No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either

No, the product of two factors that are the same is a perfect square. Common factors are numbers that divide evenly into a given set of numbers.

The product will have the same sign as the given fraction. Also, if it is a proper fraction, then the absolute value of the product will be between the absolute value of the fraction and the factor.

Geometric mean is not the same as the maths average. It is the nth root of the product of n numbers.

Yes, if both the numbers have the same sign. But not if only one of them is negative.

The product of the same two numbers, is the number's square.

The product of numbers is the same as the multiplication of numbers

If the two numbers do not have any factors in common (other than 1), then the LCM is the same as the product of the two numbers. Example: LCM of 5 & 6 is 30, which is the same as the product.

Both numbers are the same.

No - the product of numbers is the answer to a multiplication sum, while the sum of numbers is the answer to an addition sum.

The product of three positive numbers is positive. The product of three negative numbers is negative.

The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.