Multiples are numbers that can be divided by other numbers. Common multiples can be divided by two or more numbers. The lowest common multiple is the smallest number that two or more numbers can divide into.
Part ofMathsMultiples, factors and primes
A common multiple is a number that is a multiple of two or more numbers.
For example:
40 is a common multiple of 4 and 5 because \({4}\times{10}~=~40\) and \({5}\times{8}~=~40\).
What are the first three common multiples of \(3\) and \(4\)
The multiples of \(3\) are \(3\), \(6\), \(9\), \(12\), \(15\), \(18\), \(24\), \(27\), \(30\), \(33\), \(36\) \(...\)
The multiples of \(4\) are \(4\), \(8\), \(12\), \(16\), \(20\), \(24\), \(28\), \(32\), \(36\) \(...\)
Look for numbers that appear in both lists (numbers the lists have in common).
The first three common multiples of \(3\) and \(4\) are \(12\), \(24\) and \(36\).