In a double slit experiment, the two slits are 1 mm apart and the screen is place 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

Least Common Multiple (LCM) is a way of finding the smallest common multiple between any two numbers or more. A common multiple is a multiple of two numbers or more. LCM denotes the less common or multiple factors of any two or more given integers.

LCM of 18,24 and 32

First write the common multiples of all the three numbers.

⇒ Multiples of 18, 24, and 32 are listed below

Multiples of 18 = 18, 36, 54, 72, 90, 108, 126, 144, 162, 180,…………………, 288, . . . .
Multiples of 24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240…………………, , 288, . . . .
Multiples of 32 = 32, 64, 96, 128, 160, 192, 224, 256, 288, 320,…………………, 288, . .

Hence the Least common multiple of 18,24 and 32 is 288

Answer

LCM of 18,24 and 32 is 288

Check out the video given below to know more about LCM

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