What is the LCM of 3/8, 5/12, 6/5

To find the LCM (Least Common Multiple) of the fractions 3/8, 5/12, and 6/5, we need to find the LCM of the numerators and the GCD (Greatest Common Divisor) of the denominators.

Step 1: Find the LCM of the numerators (3, 5, 6) The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... The multiples of 5 are: 5, 10, 15, 20, 25, 30, ... The multiples of 6 are: 6, 12, 18, 24, 30, ... The least common multiple of 3, 5, and 6 is 30.

Step 2: Find the GCD of the denominators (8, 12, 5) The factors of 8 are: 1, 2, 4, 8 The factors of 12 are: 1, 2, 3, 4, 6, 12 The factors of 5 are: 1, 5 The greatest common divisor of 8, 12, and 5 is 1.

So, the LCM of the fractions 3/8, 5/12, and 6/5 is 30/1, which simplifies to 30.