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Pairs with common factors other than 1.

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โˆ™ 2015-08-25 02:31:44
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Q: What pairs have a LCM that is less than the product?
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Find two pairs of numbers whose least common multiple is less than the product of the numbers?

4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.


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.


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.


What are two pairs of numbers whose LCM is less than the product of the numbers?

4 and 8, 8 and 12


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers?

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.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?

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.


How can you tell if the least common multiple of two numbers is less than or equal to the product of the numbers?

If the GCF of the two numbers is 1, the LCM will be their product. IF the GCF is greater than one, the LCM will be less than the product.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?

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.


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 is 1, the LCM is the product. If the GCF is more than 1, the LCM is less than the product.


For a given pair of numbers how can you tell whether the least common multiple will be less than or equal to their product?

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.


How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less that the product of the two numbers?

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.


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.


What are two numbers whose LCM is less than their product?

The LCM of 4 and 6 is 12.


How can you tell from the prim factorizations whether the least common multiple of two numbers is a product of two numbers or is less than the product of two numbers?

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.


How can you determine whether the LCM of two numbers is less than the product of the numbers?

If they have common factors other than one.


Is the LCM of all pairs of odd numbers sometimes or always or never their product?

Sometimes.


What are some examples of number pairs that have the LCM as their product?

7 and 11, 9 and 10


What 2 pair of numbers whose LCM is less than the product of the 2 numbers?

Any two numbers that have a common factor greater than 1 will have a LCM less than their product, eg: LCM(10, 15) = 30 < 10 x 15 = 150 (since HCF(10, 15) = 5) LCM(6, 10) = 30 < 6 x 10 = 60 (since HCF(6, 10) = 2) LCM(18, 27) = 54 < 18 x 27 = 486 (since HCF(18, 27) = 9)


What are 2 numbers hos least common multiple is less than the product of the numbers?

The LCM of 10 and 15 is 30.


What are all the possible LCM pairs of 36?

Single numbers don't have LCMs, much less pairs of them. Pairs of LCMs don't exist because only one number can be least. Other than that...The factor pairs of 36 are (36,1)(18,2)(12,3)(9,4)(6,6)


Why is the LCM of 34 and 48 not the product of 4 and 8?

Because the product of 4 and 8 is less than either number, so it can't be a multiple, common or otherwise.


How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?

If none of the prime factors are in common, the LCM will be the product of the two.


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.


What is the LCM of C and A?

If they have no common factors other than 1, the LCM is their product.


What two pairs of numbers whose LCM is the product of the numbers?

4 and 9 11 and 12