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When multiplying fractions you can divide out common factors so that the product will be in what?

simplest form


What is the product of all common factors in a list of terms?

The product of all the common prime factors is the GCF. The product of all common factors would vary according to the list.


The product of multiplying 2 or more denominators?

That's a common denominator.


What is the LCM OF 20 and 39?

factors of 20 are 4*5factors of 39 are 3*13There are no common factors so LCM can be obtained by multiplying the two numbers.That is 20*39 = 780 is the LCM.Their product.


Why does cross multiplying with fractions work?

When cross multiplying, finding the product of the means and extremes, you are technically getting a common denominator that reduces out.


How can you determine from the prime factorization wheather the least common multiple of two numbers is the prouduct of the numbers or is less then the prouduct of two numbers. explain your thinking?

If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.


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.


Is a common factor the product of two factors that are the same?

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.


What is the least common multiple for 7 8 and 3?

You find the LCM by multiplying the common factors once, then multiplying by the other (non common factors). In this case, the only common factor is 1, so just multiply the numbers together: 7 x 8 x 3 = 168.


What is the LCM of two numbers that have no common factors?

Their product.


When multiplying fractions the shortcut process of finding common factors that divide evenly into at least one of the numerator and one of the denominator is called?

It is called simplification [by cancelling common factors].


What is the least common multiple of 210 and 315 and how?

It is: 630 by multiplying the highest prime factors of both numbers