The LCM of 22, 54, 108, 135 and 198 is | vedclass

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(C) To find the $LCM$ of $22, 54, 108, 135,$ and $198$,we perform prime factorization:$22 = 2 	imes 11$$54 = 2 	imes 3^3$$108 = 2^2 	imes 3^3$$135

Vedclass · Accepted Answer

$5940$

Vedclass · Answer

(C) To find the $LCM$ of $22, 54, 108, 135,$ and $198$,we perform prime factorization:$22 = 2 	imes 11$$54 = 2 	imes 3^3$$108 = 2^2 	imes 3^3$$135 = 3^3 	imes 5$$198 = 2 	imes 3^2 	imes 11$The $LCM$ is the product of the highest powers of all prime factors present:$LCM = 2^2 	imes 3^3 	imes 5 	imes 11 = 4 	imes 27 	imes 5 	imes 11 = 5940$Alternatively,using the division method:$2$$22, 54, 108, 135, 198$$2$$11, 27, 54, 135, 99$$3$$11, 27, 27, 135, 99$$3$$11, 9, 9, 45, 33$$3$$11, 3, 3, 15, 11$$5$$11, 1, 1, 5, 11$$11$$11, 1, 1, 1, 11$$1, 1, 1, 1, 1$$LCM = 2 	imes 2 	imes 3 	imes 3 	imes 3 	imes 5 	imes 11 = 5940$.

The $LCM$ of $22, 54, 108, 135$ and $198$ is

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