Given numbers are 828,990,557,442,378

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

The LCM of 828,990,557,442,378 is 117722584980.

Find LCM of 828,990,557,442,378 with Prime Factorization

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

2 x 3 x 3 x 46 x 55 x 557 x 221 x 21 = 117722584980

Therefore, the lowest common multiple of 828,990,557,442,378 is 117722584980.

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 990 x 557 x 442 x 378 = 76284235067040

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

557 : 1, 557

442 : 1, 2, 13, 17, 26, 34, 221, 442

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,990,557,442,378, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

990:2x 3x 3x 5x 11

557:557

442:2x 13x 17

378:2x 3x 3x 3x 7

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 76284235067040/(1x648)

LCM = 76284235067040/648

LCM = 117722584980

Thus, we can understand that the LCM of 828,990,557,442,378 is 117722584980.

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

• LCM of 315, 116, 241, 105, 665
• LCM of 742, 673, 273, 204, 263
• LCM of 844, 805, 866, 496, 818
• LCM of 526, 863, 607, 955, 554
• LCM of 963, 193, 167, 988, 449

1. What is the LCM of 828, 990, 557, 442, 378?

Answer: LCM of 828, 990, 557, 442, 378 is 117722584980.

2. How to calculate the LCM of 828, 990, 557, 442, 378?

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, 990, 557, 442, 378.

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}.