Question

Find the lcm of 1296 and 1728 using synthetic division method

Answer 1

Answer:

Step-by-step explanation:

Find the prime factorization of 1728

1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

Find the prime factorization of 1296

1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

LCM = 5184

Answer 2

1296=2*2*2*2*3*3*3*3

1728=2*2*2*2*2*3*3*3

L.C.M =(COMMON FACTORS) * (UNCOMMON FACTORS)

=(2*2*2*2*3*3*3) *(2)

=432 * 2

=864

L.C.M. IS 864