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Q: True or False A common multiple of two numbers is always divisible by both the number?
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What are numbers with a least common multiple of 35?

None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.


What numbers are divisible by 3 4 and 5?

Well, honey, the numbers that are divisible by 3, 4, and 5 are called multiples of the least common multiple of 3, 4, and 5, which is 60. So, any number that is a multiple of 60 will be divisible by 3, 4, and 5. Math can be a real party pooper sometimes, but that's just how the cookie crumbles.


Can you always find the LCM for two numbers by muiltiplying them together?

No, this will find a common multiple, but not always the least. For example, 2 and 4 have a least common multiple of 4 but if you multiply them you get 8. In fact, the LCM will only be the product of two numbers if the numbers have no common factors. We call numbers with no common factors relatively prime.


What multiples of 7 in part are exactly divisible by 3?

To find multiples of 7 that are exactly divisible by 3, we need to find numbers that are common multiples of both 7 and 3. The least common multiple of 7 and 3 is 21. Therefore, every multiple of 21 will be exactly divisible by both 7 and 3. Some examples of such numbers include 21, 42, 63, 84, and so on.


What numbers can be divisible by 3 and 5?

Numbers that are divisible by both 3 and 5 must be multiples of the least common multiple of 3 and 5, which is 15. Therefore, any number that is divisible by 15 will also be divisible by both 3 and 5. This includes numbers like 15, 30, 45, 60, and so on.

Related questions

Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.


What is the Lcms of 5 and 15?

If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).


Do two natural numbers always have a least common multiple?

Yes, two natural numbers always have a least common multiple.


What is the least common multiple for the numbers 10?

None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.


What are numbers with a least common multiple of 35?

None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.


Is the product always the least common multiple of the numbers?

No, only if the numbers are relatively prime.


What is the least common multiple of a set of numbers?

It is the smallest number that is a multiple of all the numbers in the set. Or to put it another way, it is the smallest number divisible by all the numbers in the set.


How many numbers that are divisible by 11 and 7?

An infinite amount of numbers but the lowest common multiple of 11 and 7 is 77


Multiple What is the Least common multiple of 16?

None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.


Will two numbers always have a common multiple?

A number is an exact multiple of each of a group of numbers. For example, 15 and 30 are common multiple of 3 and 5.


Is the product of two whole numbers always a common multiple of he numbers?

yes


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.