Question

find lcm of 96,75,81​

Answer 1

Step-by-step explanation:

96= 2×48

= 2×2×24

= 2×2×2×12

= 2×2×2×2×6

= 2×2×2×2×2×3

75 = 3×25

= 3×5×5

81= 1×81

LCM = 2×2×2×2×2×3×5×5×81

LCM = 194400

Answer 2

Answer:

The lcm of  96, 75, and 81​ is 64,800.

Step-by-step explanation:

Given: The numbers are 96, 75, and 81​.

We have to find the lcm of the above numbers.

• As we know, the lcm is the least number, which is exactly divisible by two or more numbers.

We are solving in the following way:

We have,

The numbers are 96, 75, and 81​.

First, we will find all prime factors for each number.

Prime Factorization of 75 is:

$3 \times 5 \times 5 => 3^1 \times 5^2$

Prime Factorization of 81 is:

$3 \times3 \times 3 \times 3 => 3^4$

Prime Factorization of 96 is:

$2 \times 2 \times 2 \times 2 \times 2 \times 3 => 2^5 \times 3^1$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5

Multiplying these factors together to find the LCM:

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 = 64800

Therefore,

LCM(75, 81, 96) = 64,800