Q. 20. Find the L.C.M. of following algebraic terms,2x,3x2,xy
Identify Variables Powers: Identify the highest powers of the variables in the given terms. 2x has x to the power of 1, 3x2 has x to the power of 2, and xy has x to the power of 1 and y to the power of 1.
Determine L.C.M. for x: Determine the L.C.M. for the variable x. The highest power of x present in the terms is x2.
Determine L.C.M. for y: Determine the L.C.M. for the variable y. Since y is only present in the term xy, its highest power is y1.
Combine Variable L.C.M.: Combine the L.C.M. of the variables.The L.C.M. will be x2 times y1.
Find Coefficient L.C.M.: Find the L.C.M. of the coefficients 2 and 3. The L.C.M. of 2 and 3 is 6.
Write Final L.C.M.: Write the final L.C.M. by combining the L.C.M. of the coefficients with the L.C.M. of the variables.The final L.C.M. is 6x2y.
More problems from Pascal's triangle and the Binomial Theorem