Given numbers are 58,29,32,12,976

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

The LCM of 58,29,32,12,976 is 169824.

Find LCM of 58,29,32,12,976 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 1 x 1 x 2 x 3 x 61 = 169824

Therefore, the lowest common multiple of 58,29,32,12,976 is 169824.

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.

58 x 29 x 32 x 12 x 976 = 630386688

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.

58 : 1, 2, 29, 58

29 : 1, 29

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

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 58,29,32,12,976, is 1.

Now, the common factors can be found like this.

58:2x 29

29:29

32:2x 2x 2x 2x 2

12:2x 2x 3

976:2x 2x 2x 2x 61

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 29 = 3712

Therefore, the value for common factors is 3712.

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 = 630386688/(1x3712)

LCM = 630386688/3712

LCM = 169824

Thus, we can understand that the LCM of 58,29,32,12,976 is 169824.

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

• LCM of 98, 91, 84, 70, 160
• LCM of 49, 29, 79, 92, 822
• LCM of 59, 57, 75, 49, 777
• LCM of 93, 17, 17, 66, 894
• LCM of 70, 40, 30, 15, 278

1. What is the LCM of 58, 29, 32, 12, 976?

Answer: LCM of 58, 29, 32, 12, 976 is 169824.

2. How to calculate the LCM of 58, 29, 32, 12, 976?

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 58, 29, 32, 12, 976.

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}.