Question

the l.c.m of 10a, 4a2 , 24a3 is

Answer 1

Answer:

The l.c.m of $10a, 4a^2 , 24a^3$ is $240a^3$.

Step-by-step explanation:

10a = 5 × 2 × a

$4a^2$ = 2 × 2 × a × a

$24a^3$ = 2 × 2× 2 × 3 × a × a × a

The required L.C.M. = common factors among two monomials × extra common factors among two monomials.

common factors among two monomials = 2  × a

The extra common factors among two monomials = 5  × 2  × 2  × 2  × 3  ×a × a

The required L.C.M. = common factors among two monomials × extra common factors among two monomials.

= 2  × 5  × 2  × 2  × 2  × 3 × a × a × a

= 240× a × a × a

$= 240a^3$

So, the l.c.m of $10a, 4a^2 , 24a^3$ is $240a^3$.