Given numbers are 826,936,992,214

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

The LCM of 826,936,992,214 is 5128984224.

Find LCM of 826,936,992,214 with Prime Factorization

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

2 x 2 x 2 x 413 x 117 x 124 x 107 = 5128984224

Therefore, the lowest common multiple of 826,936,992,214 is 5128984224.

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.

826 x 936 x 992 x 214 = 164127495168

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,936,992,214, is 2.

Now, the common factors can be found like this.

826:2x 7x 59

936:2x 2x 2x 3x 3x 13

992:2x 2x 2x 2x 2x 31

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 164127495168/(2x16)

LCM = 164127495168/32

LCM = 5128984224

Thus, we can understand that the LCM of 826,936,992,214 is 5128984224.

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

• LCM of 552, 842, 201, 349
• LCM of 568, 811, 105, 316
• LCM of 818, 410, 894, 336
• LCM of 396, 381, 302, 456
• LCM of 814, 542, 779, 425

1. What is the LCM of 826, 936, 992, 214?

Answer: LCM of 826, 936, 992, 214 is 5128984224.

2. How to calculate the LCM of 826, 936, 992, 214?

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 826, 936, 992, 214.

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}.