Question

prove that product of two numbers is equal to product of their LCM and HCF​

Answer 1

can be proved by using examples- as

let the two no. be X & Y and,

X = a x b

Y = c x d

LCM of X&Y will be equal to = XY = a.b.c.d

HCF of " " " " " " " = 1

Now, ATQ,

HCF x LCM = a.b.c.d ............1

& X x Y = a.b.c.d ................2

from 1 & 2 we get,

HCF x LCM = X x Y

Mark brainliest if it helps

Answer 2

let the two number be 'a' and 'b'

LCM = ab

HCF=1

Now ,

HCF×LCM= ab

1×ab=ab

ab=ab

LHS=RHS

therefore , the product of LCM and HCF of two numbers is equal to the product if two numbers