Given numbers are 820,936,425,378,582

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

The LCM of 820,936,425,378,582 is 33223062600.

Find LCM of 820,936,425,378,582 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 41 x 26 x 85 x 21 x 97 = 33223062600

Therefore, the lowest common multiple of 820,936,425,378,582 is 33223062600.

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.

820 x 936 x 425 x 378 x 582 = 71761815216000

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

425 : 1, 5, 17, 25, 85, 425

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,936,425,378,582, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

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

425:5x 5x 17

378:2x 3x 3x 3x 7

582:2x 3x 97

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 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 71761815216000/(1x2160)

LCM = 71761815216000/2160

LCM = 33223062600

Thus, we can understand that the LCM of 820,936,425,378,582 is 33223062600.

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

• LCM of 414, 429, 999, 874, 204
• LCM of 812, 707, 873, 114, 722
• LCM of 769, 630, 216, 196, 647
• LCM of 205, 641, 888, 604, 634
• LCM of 951, 200, 920, 875, 613

1. What is the LCM of 820, 936, 425, 378, 582?

Answer: LCM of 820, 936, 425, 378, 582 is 33223062600.

2. How to calculate the LCM of 820, 936, 425, 378, 582?

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 820, 936, 425, 378, 582.

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}.