Question

find the LCM and HCF of {x^2y^3 , x^3y } and verify it also .

Answer 1

Hola Friend ✋✋

The numbers are x² × y³ , x³ × y


LCM = x³ × y³

HCF = x² × y

Verification :

LCM × HCF = Product of two numbers

LHS :

LCM × HCF = x³ × y³ × x² × y

= x^{5} × y⁴

RHS :

Product of two numbers = = x² × y³ × x³ × y

= x^{5} × y⁴

Therefore ,

LHS = RHS

Hence verified....


Hope it helps

Answer 2

Heya,

x^2y^3 , x^3y

HCF = x^2y

LCM = x^3y^3

VERIFICATION:-
HCF × LCM = a × b

[Where a = x^2y^3 & b = x^3y]

x^2y × x^3y^3 = x^2y^3 × x^3y

x^5y^4 = x^5y^4

Therefore,
LHS = RHS

#Verified

Hope my answer helps you :)

Regards,
Shobana