Given numbers are 530,840,475,920

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

The LCM of 530,840,475,920 is 97276200.

Find LCM of 530,840,475,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 53 x 21 x 95 x 23 = 97276200

Therefore, the lowest common multiple of 530,840,475,920 is 97276200.

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.

530 x 840 x 475 x 920 = 194552400000

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.

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

475 : 1, 5, 19, 25, 95, 475

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,840,475,920, is 5.

Now, the common factors can be found like this.

530:2x 5x 53

840:2x 2x 2x 3x 5x 7

475:5x 5x 19

920:2x 2x 2x 5x 23

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 194552400000/(5x400)

LCM = 194552400000/2000

LCM = 97276200

Thus, we can understand that the LCM of 530,840,475,920 is 97276200.

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

• LCM of 765, 295, 401, 851
• LCM of 163, 735, 664, 539
• LCM of 334, 933, 145, 954
• LCM of 998, 697, 354, 654
• LCM of 406, 224, 408, 390

1. What is the LCM of 530, 840, 475, 920?

Answer: LCM of 530, 840, 475, 920 is 97276200.

2. How to calculate the LCM of 530, 840, 475, 920?

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 530, 840, 475, 920.

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}.