Book Maths Puzzle

What is the LCM of 2/3, 5/6 and 4/9 ?

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Book Other Question

What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24? What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 ?