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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.
How can you find the LCM of a set of a numbers given their greatest common factor without listing the multiples of the numbers?
If you have two numbers, multiply them together and divide that total by the GCF. The result will be the LCM.
How are common factors and greatest common factors alike and dislike?
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.
What is the difference between a greatest common factor and a least common multiple?
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. The least common factor of any set of integers is 1.
What do LCM and GCF mean?
Factors go into numbers, numbers go into multiples. 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.
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 multiples of two given whole numbers infinite?
Yes.
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
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 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 are numbers that are between 55 and 101 with the multiples of 3 10 and 15?
To find numbers between 55 and 101 that are multiples of 3, 10, and 15, we need to find the numbers that are common multiples of these numbers within the given range. The common multiples of 3, 10, and 15 are numbers that are divisible by the least common multiple (LCM) of these numbers, which is 30. Therefore, the numbers between 55 and 101 that are multiples of 3, 10, and 15 are 60, 90, and any other multiples of 30 within that range.
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
Multiples and least common multiples vocabulary?
Multiples are the results when we multiply a number by an integer. For instance: We have number 3. If we multiply 3 by 1,2,3,4,5,6,...,n, the results would be 3,6,9,12,15,18,...,n which are the multiples of 3. Least Common Multiple is the smallest number common to two or more numbers. For instance: We have 3 and 4 as our given numbers. The multiples of 3 are 3,6,9,12,15,18,21,24,...,n while the multiples of 4 are 4,8,12,16,20,24,...,n. As we can see, the common multiples are 12 and 24... The least is 12. Therefore, the LCM of 3 and 4 is 12.
What are the least common multiple and the greatest common factor?
The least common multiple, or LCM, is the smallest number that two or more given numbers can divide into evenly with no remainder. The greatest common factor, or GCF, is the largest number that can divide into two or more given numbers evenly with no remainder. Factors go into numbers, numbers go into multiples.
