The greatest common multiple of any set of numbers is infinite and not very practical for solving problems. Generally, we look for either the greatest common factor or the least common multiple. To find them, it is necessary to factor the numbers.
2 x 3 x 3 = 18
3 x 3 x 3 = 27
3 x 3 x 5 = 45
To find the GCF, select the common factors.
3 x 3 = 9, the GCF.
To find the LCM, combine the factors, eliminating duplicates.
2 x 3 x 3 x 3 x 5 = 270, the LCM.
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27 and 18
9, 18, 27 and so on.
The LCM of 6, 9, 18, and 27 is 54. Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, and so on Multiples of 9 are 9, 18, 27, 36, 45, 54, and so on. Multiples of 18 are 18, 36, 54, and so on. Multiples of 27 are 27, 54, and so on So the LCM of 6, 9, 18, and 27 is 54.
The least common multiple of the numbers 27, 36 and 18 is 108.
The factors of 18 are:1, 2, 3, 6, 9, 18The factors of 27 are:1, 3, 9, 27The common factors are:1, 3, 9The Greatest Common Factor:GCF = 9