Question

Lcm of 144,180 and 384​

Answer 1

5760 is the Answer .

Answer 2

To find : LCM of $144,180,384$

Solution :

• To find the LCM of $144,180,384$  we find prime factors of $144,180,384$ .

• Prime factors of $144= 2\times 2\times 2\times 2\times 3\times 3$

                                         $=2^{4} \times 3^{2}$

• Prime factors of $180 = 2\times2 \times 3\times 3\times 5$

                                         $= 2^{2} \times 3^{2} \times 5$

• Prime factors of $384 = 2\times 2\times 2\times 2\times 2\times 2\times2\times 3$

                                         $= 2^{7} \times 3$

• LCM of $144,180,384$ = $2^{7}\times 3^{2} \times 5$

                                        $= 5760$

Hence . LCM of $144,180,384$ is $5760$ .