If x × y denotes H.C.F of x and y and x @ y denotes LCM of x and y, then the value of (72 × 84) @ 144 is:
Answer & explanation
Correct answer: option 1
x × y denotes H.C.F of x and y
x @ y denotes LCM of x and y
72 = 23 × 32
84 = 22 × 3 × 7
144 = 24 × 32
H.C.F of 72 and 84 = 22 × 3 = 12
Now, we have to find the L.C.M of 12 and 144
Factor of 12 = 22 × 3
So, the L.C.M of 12 and 144 = 24 × 32
∴ The value of (72 × 84) @ 144 is 144.