If the least common multiple of 85 and 255 can be expressed as 85R + 255, then the value of R is:

Correct option is B

Given:

Numbers: 85 and 255

Expression: LCM = 85R + 255

Formula Used:

LCM(a, b) = $$\frac{a \times b}{\text{HCF}(a, b)}$$​​

Solution:

HCF of 85 and 255 = 85

LCM = $$\frac{85 \cdot 255}{85}$$​= 255

Now, compare: 85R + 255 = 255

85R = 0

R = 0