Given numbers are 828,856,278,316,530

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

The LCM of 828,856,278,316,530 is 515622518280.

Find LCM of 828,856,278,316,530 with Prime Factorization

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

2 x 2 x 207 x 214 x 139 x 79 x 265 = 515622518280

Therefore, the lowest common multiple of 828,856,278,316,530 is 515622518280.

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.

828 x 856 x 278 x 316 x 530 = 32999841169920

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

856 : 1, 2, 4, 8, 107, 214, 428, 856

278 : 1, 2, 139, 278

316 : 1, 2, 4, 79, 158, 316

530 : 1, 2, 5, 10, 53, 106, 265, 530

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,856,278,316,530, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

856:2x 2x 2x 107

278:2x 139

316:2x 2x 79

530:2x 5x 53

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 2 = 32

Therefore, the value for common factors is 32.

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 = 32999841169920/(2x32)

LCM = 32999841169920/64

LCM = 515622518280

Thus, we can understand that the LCM of 828,856,278,316,530 is 515622518280.

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

• LCM of 521, 621, 828, 953, 790
• LCM of 937, 500, 561, 716, 503
• LCM of 369, 425, 401, 485, 604
• LCM of 832, 368, 720, 259, 887
• LCM of 494, 482, 280, 980, 363

1. What is the LCM of 828, 856, 278, 316, 530?

Answer: LCM of 828, 856, 278, 316, 530 is 515622518280.

2. How to calculate the LCM of 828, 856, 278, 316, 530?

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 828, 856, 278, 316, 530.

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}.