if r,s,t are primes . l.c.m of p,q is{( r^2)(s^4)(t^2)} . then number of possible pairs of (p,q) are -----------

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mycroft holmes · Answer

So p is of the form and q of the form Now, if lcm(p,q) = we need For we have or vice versa and thus 5 cases (noting that (2,2) gets counted twice). Similarly for exponents of s, we have 5+5-1 =9 cases, and for exponents of t we have 5 cases. Hence number of possibilities for (p,q) = 5 X 9 X 5 = 225.

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if r,s,t are primes . l.c.m of p,q is{( r^2)(s^4)(t^2)} . then number of possible pairs of (p,q) are -----------

if r,s,t are primes . l.c.m of p,q is{( r^2)(s^4)(t^2)} . then number of possible pairs of (p,q) are -----------

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if r,s,t are primes . l.c.m of p,q is{( r^2)(s^4)(t^2)} . then number of possible pairs of (p,q) are -----------

if r,s,t are primes . l.c.m of p,q is{( r^2)(s^4)(t^2)} . then number of possible pairs of (p,q) are -----------

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