Let’s find the L.C.M. of the following algebraic expressions:
5a5b, 15ab2c, 25a2b2c2
factors of 5a5b=5×a×a×a×a×a×b
Factors of 15ab2c=3×5×a×b×b×c
Factors of 25a2b2c2=5×5×a×a×b×b×c×c
LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.
∴the LCM of 5a5b, 15ab2c, 25a2b2c2=75a5b2c2
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