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How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?
If the prime factorizations have no factors in common, the LCM is the product of them.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?
If the two numbers have no common prime factors, the LCM will be the product of the numbers.
What 4 numbers multiplied makes 840?
To find four numbers that multiply to 840, one possible combination is 2, 3, 5, and 28. Another combination could be 1, 7, 12, and 10. There are multiple sets of numbers that can achieve this product, as 840 has various factorizations.
Is the product of two whole numbers called a multiple?
The result of multiplying two whole numbers is called a product. It is a multiple of each of the whole numbers.
How can you determine from the prime factorizations whether the least common multiple of two numbers?
Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Combine the factors, eliminating duplicates.2 x 3 x 5 x 7 = 210, the LCMIf there are no common prime factors, the LCM is the product of the original two numbers.
To determine the product?
Multiply the numbers
Is the product of two counting numbers a multiple of those numbers?
Yes. It's a multiple of each of them.
Is a factor the product of any two whole numbers?
No, the factors are the whole numbers. The product is the multiple.
When you multiple two numbers together what do you get?
A product.
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.
When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?
Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.
Is the product of two whole numbers always a common multiple of he numbers?
yes
