The spelling of the word "CAYAGIUM" can be confusing to some. However, with the use of the International Phonetic Alphabet (IPA), it can be broken down into its individual sounds. The first sound is a "k" sound, followed by an "a" sound as in "cat", then a "j" sound as in "jump", and finally an "i" sound as in "ski". The final syllable consists of a "y" sound and an "um" sound, which can be pronounced like the word "gum". So, the correct pronunciation would be "KA-yuh-jee-yum".