Question

if a= 2^2×3^3×5^4 and b=2^3×3^2×5 then find hcf of(a,b) and lcm of(a,b)​

Answer 1

H.C.F. = 2^2 × 3^2 ×5

= 4×9 ×5

= 180

L.C.M.= 2^3 × 3^3 ×5^4

= 8× 27 × 625

= 135000

.

.

.

.

.

.

.

MARK AS BRAINLIST PLZ

Answer 2

H.C.F. of(a,b) is 180 and L.C.M. of(a,b)​ is 135000.

Step-by-step explanation:

The given numbers are

$a= 2^2\times 3^3\times 5^4$

$b=2^3\times 3^2\times 5$

Highest Common Factor of a and b : It is a largest positive integer that divides both a and b.

$H.C.F. = 2^2 \times 3^2 \times 5$

$H.C.F. = 4 \times 9 \times 5$

$H.C.F. =180$

Least Common Multiple of a and b : It is a smallest positive integer that is divisible by both a and b.

$L.C.M.= 2^3 \times 3^3 \times 5^4$

$L.C.M.= 8 \times 27 \times 625$

$L.C.M.= 135000$

Therefore,  H.C.F. of(a,b) is 180 and L.C.M. of(a,b)​ is 135000.

#Learn more

36 and 54,Find LCM of it.

https://brainly.in/question/5213794