Book Maths Puzzle

What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?

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Book Other Question

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number? What is the LCM of 2/3, 5/6 and 4/9 ?