Common multiples are multiples that two numbers have in common. These can be useful when working with fractions and ratios. The lowest common multiple or least common multiple is the lowest
multiple two numbers have in common. There are two ways of finding the lowest common multiple of two numbers. Method 1: Listing MultiplesThe first way to find the lowest common multiple is to do what we did above: write out a list of the lowest multiples of each number, and look for the lowest multiple both numbers have in common. Example: Example: Method 2: FactorsThe other way to find the lowest common multiple is to list the prime factors for each number. Remove the prime factors both numbers have in common. Multiply one of the numbers by the remaining prime factors of the other number. The result will be the lowest common multiple. Example: You'll get the same results no matter which number you work with: Example: Another ExampleExample: What if they have no prime factors in common?Example: As that last example illustrates, if two numbers have no prime factors in common, the lowest common multiple will be equal to the product of the two numbers. Treat primes as prime factorsIf one number is prime, you can treat it as its own prime factor. Example: Example: Example: Prime resultsAs you can see from the above, there are two scenarios if at least one number is prime:
(The second scenario also includes cases where both numbers are prime.) Common Factors Mixed Numbers and Improper Fractions.com/ipa/0/9/3/3/3/5/A0933352.html
Which number is a multiple of 2 and a multiple of 3?What are some common multiples of 2 and 3? Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24... Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27... Common multiples of 2 and 3 include 6, 12, 18, and 24.
Which is a multiple of 3?The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, … The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, … The common multiples of 3 and 4 are: 12, 24, 36, ….
What is a multiple of two?The first 10 multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20.
What does a multiple of 3 mean?The formal definition of a multiple of 3 is: any number that three divides evenly or any number for which 3 is a factor. For a number to be divided "evenly" by three the answer must be a whole number with no remainders.
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