Given numbers are 96,32,20,58

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

The LCM of 96,32,20,58 is 13920.

Find LCM of 96,32,20,58 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 1 x 5 x 29 = 13920

Therefore, the lowest common multiple of 96,32,20,58 is 13920.

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.

96 x 32 x 20 x 58 = 3563520

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.

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

20 : 1, 2, 4, 5, 10, 20

58 : 1, 2, 29, 58

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 96,32,20,58, is 2.

Now, the common factors can be found like this.

96:2x 2x 2x 2x 2x 3

32:2x 2x 2x 2x 2

20:2x 2x 5

58:2x 29

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 2 = 128

Therefore, the value for common factors is 128.

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 = 3563520/(2x128)

LCM = 3563520/256

LCM = 13920

Thus, we can understand that the LCM of 96,32,20,58 is 13920.

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

• LCM of 42, 58, 62, 69
• LCM of 26, 35, 67, 99
• LCM of 65, 76, 78, 72
• LCM of 64, 45, 98, 45
• LCM of 55, 21, 83, 28

1. What is the LCM of 96, 32, 20, 58?

Answer: LCM of 96, 32, 20, 58 is 13920.

2. How to calculate the LCM of 96, 32, 20, 58?

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 96, 32, 20, 58.

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}.