Given numbers are 16,21,32,24

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 16,21,32,24 is 672.

Find LCM of 16,21,32,24 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 3 x 1 x 7 x 2 x 1 = 672

Therefore, the lowest common multiple of 16,21,32,24 is 672.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

16 x 21 x 32 x 24 = 258048

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

16 : 1, 2, 4, 8, 16

21 : 1, 3, 7, 21

32 : 1, 2, 4, 8, 16, 32

24 : 1, 2, 3, 4, 6, 8, 12, 24

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 16,21,32,24, is 1.

Now, the common factors can be found like this.

16:2x 2x 2x 2

21:3x 7

32:2x 2x 2x 2x 2

24:2x 2x 2x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 258048/(1x384)

LCM = 258048/384

LCM = 672

Thus, we can understand that the LCM of 16,21,32,24 is 672.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 34, 24, 73, 52
• LCM of 54, 22, 80, 89
• LCM of 63, 25, 18, 64
• LCM of 47, 67, 28, 32
• LCM of 92, 77, 34, 36

1. What is the LCM of 16, 21, 32, 24?

Answer: LCM of 16, 21, 32, 24 is 672.

2. How to calculate the LCM of 16, 21, 32, 24?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 16, 21, 32, 24.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.