Given numbers are 828,798,836,390

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

The LCM of 828,798,836,390 is 78738660.

Find LCM of 828,798,836,390 with Prime Factorization

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

2 x 2 x 3 x 19 x 69 x 7 x 11 x 65 = 78738660

Therefore, the lowest common multiple of 828,798,836,390 is 78738660.

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 798 x 836 x 390 = 215428973760

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,798,836,390, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

798:2x 3x 7x 19

836:2x 2x 11x 19

390:2x 3x 5x 13

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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 215428973760/(2x1368)

LCM = 215428973760/2736

LCM = 78738660

Thus, we can understand that the LCM of 828,798,836,390 is 78738660.

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

• LCM of 116, 417, 978, 490
• LCM of 714, 749, 182, 446
• LCM of 347, 587, 200, 764
• LCM of 242, 890, 643, 642
• LCM of 628, 950, 612, 794

1. What is the LCM of 828, 798, 836, 390?

Answer: LCM of 828, 798, 836, 390 is 78738660.

2. How to calculate the LCM of 828, 798, 836, 390?

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, 798, 836, 390.

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}.