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Q: Is the set of all common multiples of two given whole numbers infinite?
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Is the set of all common factors of two given natural numbers infinite?

No.


What number has five different prime factors?

Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.


What is a GCF and LCM?

The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.


What is a factor and a multiple in relation to LCF LCM?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.


How are the GCF and LCM alike and different?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.

Related questions

What dus a Least common multiple have in common?

Multiples from a given set of numbers.


What are the common multiples for 16 and 9?

The LCM of the given numbers is 144


What are the common multiples of 1 and 3 and 5?

The LCM of the given numbers is 15


Is the set of all common factors of two given natural numbers infinite?

No.


What are characteristics of common multiples?

Given a set of numbers, their common multiple is (usually) a positive integer which is evenly divisible by each of the set of numbers. Common multiples of variables or algebraic expressions are defined in a similar manner.


What is the lowest common multiples of 3 and 6?

The LCM of the given two numbers is 6


What are the least common multiples of 3 and 13?

The LCM of the given prime numbers is 39


Is the set of all common multiples of two given whole numbers is finite?

Yes, that is true.


What are the multiples of 187?

The answer given below is incorrect: 1 is NOT a multiple of 187. It is a factor, and that is a very different thing. Multiples of 187 are members of the infinite set of numbers of the form 187*k where k is an integer. Since the set is infinite, it is not possible to list them..


What is the common multiple 4 6 8 10 12 14 16 18 20 22?

Since we are talking about common multiple of all these numbers so, we can just find LCM of all these numbers and write down all the multiples of the LCM which are the common multiples of the given numbers. In order to find LCM of the given numbers we have to do a lot of calculation. So, finding the LCM requires a lot of work and therefore we have to to look for another method. If we multiply all these numbers then the result is a common multiple. So, answer is : 4 x 6 x 8 x 10 x ... x 22 = 40874803200 Also, if multiply the answer with any natural number we get a common multiple which means there exists infinite common multiples.


What are the multiples of one number that are also multiples of another number?

Common denominators. These are called "common multiples". For example, multiples of 4 are: 4,8,12,16,20,24 ... . Multiples of 6 are: 6,12,18,24,30,36 ... . The numbers on both lists are the common multiples and they include: 12,24,36, ... . Specifically, the smallest number in any such list of common multiples (12 in this example) is known as the Least (or Lowest) Common Multiple or LCM.


What is the answer to Multiple of 9 and 18?

Multiples are just numbers that can be multiplied together to find the given number. So: Multiples of 9: 1,3,9 Multiples of 18: 1,2,3,6,9,18 Common Multiples of 9 & 18: 1,3,9