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How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
Is the product of two numbers that are less than zero also less than zero?
No. Their product is always greater than 0.
Is the product of two numbers is always greater than either number. a math question.?
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
Is the product of mixed numbers greater or less than their factors?
Products will be greater unless your number set includes a number less than 1.
Is the product of two mixed numbers less than between or greater than the two factors?
yes because it is greater than 1
How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?
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.
Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.
How do you know when two pairs of numbers will have an LCM that is less than the product of the numbers?
When their GCF is greater than 1. When they have prime factors in common.
Can the product of two numbers never be less than either of the numbers?
The statement is false. if any or both of numbers are less than 1, the product is less than the greater (or both) of the numbers. Eg. 1/2 x 1/3 = 1/6 ; 1/6 < 1/2 and 1/6 < 1/3
Is the product of two positive mixed numbers ever less then 1?
No. A mixed number must be greater than 1, and two numbers that are greater than one that are multiplied together end up being greater that either number by itself.
Is it true that when you multiply two natural numbers the product is never less than either of the two numbers?
Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.
When is the LCM of 2 numbers less than their product?
When they have a common prime factor. When their GCF is greater than 1.
