What is the Least common Multiple and Greatest common Divisor of [7/38, 19/76, 35/ 21] ?

To find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of the given fractions, we need to find the LCM of the numerators and the GCD of the denominators for the LCM of the fractions, and the GCD of the numerators and the LCM of the denominators for the GCD of the fractions.

Step 1: Find the LCM of the numerators (7, 19, 35) The LCM of 7, 19, and 35 is 13365.

Step 2: Find the GCD of the denominators (38, 76, 21) The GCD of 38, 76, and 21 is 1.

So, the LCM of the fractions [7/38, 19/76, 35/21] is 13365/1 = 13365.

Step 3: Find the GCD of the numerators (7, 19, 35) The GCD of 7, 19, and 35 is 1.

Step 4: Find the LCM of the denominators (38, 76, 21) The LCM of 38, 76, and 21 is 798.

So, the GCD of the fractions [7/38, 19/76, 35/21] is 1/798.