Given numbers are 64,56,58,36,590

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

The LCM of 64,56,58,36,590 is 34493760.

Find LCM of 64,56,58,36,590 with Prime Factorization

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

2 x 2 x 2 x 8 x 7 x 29 x 9 x 295 = 34493760

Therefore, the lowest common multiple of 64,56,58,36,590 is 34493760.

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.

64 x 56 x 58 x 36 x 590 = 4415201280

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.

64 : 1, 2, 4, 8, 16, 32, 64

56 : 1, 2, 4, 7, 8, 14, 28, 56

58 : 1, 2, 29, 58

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

590 : 1, 2, 5, 10, 59, 118, 295, 590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 64,56,58,36,590, is 2.

Now, the common factors can be found like this.

64:2x 2x 2x 2x 2x 2

56:2x 2x 2x 7

58:2x 29

36:2x 2x 3x 3

590:2x 5x 59

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 2 = 64

Therefore, the value for common factors is 64.

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 = 4415201280/(2x64)

LCM = 4415201280/128

LCM = 34493760

Thus, we can understand that the LCM of 64,56,58,36,590 is 34493760.

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

• LCM of 17, 91, 51, 52, 981
• LCM of 34, 29, 60, 19, 201
• LCM of 86, 10, 28, 19, 713
• LCM of 52, 65, 83, 14, 615
• LCM of 35, 56, 49, 91, 368

1. What is the LCM of 64, 56, 58, 36, 590?

Answer: LCM of 64, 56, 58, 36, 590 is 34493760.

2. How to calculate the LCM of 64, 56, 58, 36, 590?

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 64, 56, 58, 36, 590.

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}.