Given numbers are 644,138,822,408,958

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

The LCM of 644,138,822,408,958 is 4310643624.

Find LCM of 644,138,822,408,958 with Prime Factorization

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

2 x 2 x 3 x 23 x 7 x 1 x 137 x 34 x 479 = 4310643624

Therefore, the lowest common multiple of 644,138,822,408,958 is 4310643624.

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.

644 x 138 x 822 x 408 x 958 = 28553703365376

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

138 : 1, 2, 3, 6, 23, 46, 69, 138

822 : 1, 2, 3, 6, 137, 274, 411, 822

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,138,822,408,958, is 2.

Now, the common factors can be found like this.

644:2x 2x 7x 23

138:2x 3x 23

822:2x 3x 137

408:2x 2x 2x 3x 17

958:2x 479

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 28553703365376/(2x3312)

LCM = 28553703365376/6624

LCM = 4310643624

Thus, we can understand that the LCM of 644,138,822,408,958 is 4310643624.

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

• LCM of 928, 718, 979, 446, 789
• LCM of 860, 182, 784, 422, 799
• LCM of 431, 262, 776, 547, 735
• LCM of 641, 277, 527, 368, 969
• LCM of 793, 895, 245, 653, 273

1. What is the LCM of 644, 138, 822, 408, 958?

Answer: LCM of 644, 138, 822, 408, 958 is 4310643624.

2. How to calculate the LCM of 644, 138, 822, 408, 958?

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 644, 138, 822, 408, 958.

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}.