Question

find the lcm of 15,24,46​

Answer 1

15 = 3×5

24=2×3×4

46=2×23

LCM (15,24,46)= 2×2×2 ×3×5×23=2760

Answer 2

Answer:

The LCM of 15, 24, and 46 will be 2760.

Step-by-step explanation:

Given: The numbers are 15, 24, and 46​.

We have to find the lcm of the above numbers.

• As we know, LCM denotes the least common factor or multiple of any two or more given integers.  

We are solving in the following way:

We have,

The numbers are 15, 24, and 46​.

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

Prime Factorization of 15 is:

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

Prime Factorization of 24 is:

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

Prime Factorization of 46 is:

$2 \times 23 => 2^1 \times 23^1$

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 list is:

2, 2, 2, 3, 5, 23

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 3 \times 5 \times 23 = 2760$

Therefore,

LCM(15, 24, 46) = 2760