What is the LCM of 31z^331z3, 93z^293z2?

2 Answers
Sep 24, 2015

93z^393z3

Explanation:

LCM means the least number which is divisible by both 31z^3 and 93z^231z3and93z2. It is obviuosly 93z^393z3, but it can be determined by factorisation method easily

31z^3 = 31*z*z*z31z3=31zzz
91z^2 =31*3*z*z91z2=313zz

First pick up the common factors 31zz and multiply the remaining numbers z*3 with this.

This makes up 31*z*z*3*z = 93 z^331zz3z=93z3

Sep 24, 2015

93z^393z3

Explanation:

The LCM (Least Common Multiple) is the smallest value which each of two (or more) values divide evenly into.

Dividing 31z^231z2 and 93z^393z3 into factors and selecting all factors that are required by at least one of the two values:
{:(31z^3," = ", ,31, z, z, z), (93z^2," = ",3,31, z,z, ),("required factors:", ,3, 31, z, z, z) :}

The required factors of the LCM of 31z^3 and 93z^2 are
3xx31xxzxxzxxz

rArr LCM(31z^3,93z^2) = 93z^3