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To find the LCM (Lowest Common Multiple) of many numbers, find the prime factors of each number. Write down each prime factor once. If it occurs in more than one of the numbers, you should write it down once, but if it occurs more than once in a number, write it down that many times. Once you have found all the prime factors like this, you can multiply them all together to form the LCM.
ExampleWhat is the LCM of 36, 16 and 27?
- 36 = 2x2x3x3
- 16 = 2x2x2x2
- 27 = 3x3x3
- The prime factor 2 occurs the most in 16. Here it occurs 4 times.
- The prime factor 3 occurs most in 27. Here it occurs 3 times.
- Therefore, the LCM is 2x2x2x2x3x3x3 = 432
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