There is no greatest common multiple: for whatever value you say is the greatest I can always add their lowest common multiple and get an even greater common multiple.
There is a greatest common FACTOR or a LOWEST common multiple:
gcf(40, 56, 96) = 8
lcm(40, 56, 96) = 3360
Using the factorisation method:
40 = 2^3 x 5
56 = 2^3 x 7
96 = 2^5 x 3
hcf = 2^3 = 8
lcm = 2^5 x 3 x 5 x 7 = 3360
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The greatest common multiple of any set of numbers is infinite and not very practical for problem solving. The lowest common multiple is 72
The GCF of 40, 56, and 64 is 8.
factors of 16 are: 1, 2, 4, 8, and 16.factors of 40 are 1, 2, 4, 5, 8, 10, and 20.factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56.common factors: 1,2,4, and 8.greatest of the common factors: 8.GCF of 16 40 and 56 = 8
The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 4 and 8 is 8. (See related question "What is the greatest common factor of 4 and 8?" for this calculation.) So, the least common multiple is 4 x 8 ÷ 4 = 8. Common multiples of 4 and 8 include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, etc. Although 16 is a common multiple, it is not the least common multiple.
2 is the lowest common multiple of the two but 4 also goes into them both.