Book Maths Puzzle

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?

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Book Other Question

At what time between 3 o'clock and 4 o'clock, both the needles of a clock will coincide each other? What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?