Question

find the lcm of 16,36,40​

Answer 1

16 = 2×2×2×2

36 = 2×2×3×3

40 = 2×2×2×5

HCF = 2×2

HCF = 4

LCM = 720

here is ur answer

Answer 2

Answer:

The lcm of 16, 36, and 40​ will be 720.

Step-by-step explanation:

Given: The numbers are 16, 36, and 40​.

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 16, 36, and 40​.

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

Prime Factorization of 16 is:

$2 \times 2 \times 2 \times 2 => 2^4$

Prime Factorization of 36 is:

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

Prime Factorization of 40 is:

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

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, 3, 3, 5

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 = 720$

Therefore,

LCM(16, 36, 40) = 720