If A = LCM of (7xyz, 5x2y2 and 3z3) and B = HCF of (xy, 3yz and -2yzx) then which of the following expression is equal to A/B?

If A = LCM of (7xyz, 5x2y2 and 3z3) and B = HCF of (xy, 3yz and -2yzx) then which of the following expression is equal to A/B? Correct Answer 105 x²yz³

Given:

It is given that A = LCM of (7xyz, 5x²y² and 3z³) and B = HCF of (xy, 3yz and -2 yzx)

Concept Used:

Basic concept of HCF and LCM

Calculation:

A = LCM of (7xyz, 5x²y² and 3z³)

∴ LCM of (7xyz, 5x²y² and 3z³) = 105 x²y²z³

Now, B = HCF of (xy, 3yz and -2 yzx)

∴ HCF of (xy, 3yz and -2 yzx) = y

Now, the value of A/B

∴ A/B = 105 x²y²z³/y = 105 x²yz³

Hence, option (1) is correct