Given numbers are 130,826,750,402,840

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

The LCM of 130,826,750,402,840 is 1079169000.

Find LCM of 130,826,750,402,840 with Prime Factorization

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

2 x 3 x 5 x 7 x 13 x 59 x 25 x 67 x 4 = 1079169000

Therefore, the lowest common multiple of 130,826,750,402,840 is 1079169000.

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.

130 x 826 x 750 x 402 x 840 = 27195058800000

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

826 : 1, 2, 7, 14, 59, 118, 413, 826

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,826,750,402,840, is 2.

Now, the common factors can be found like this.

130:2x 5x 13

826:2x 7x 59

750:2x 3x 5x 5x 5

402:2x 3x 67

840:2x 2x 2x 3x 5x 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 5x 5x 7 = 12600

Therefore, the value for common factors is 12600.

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 = 27195058800000/(2x12600)

LCM = 27195058800000/25200

LCM = 1079169000

Thus, we can understand that the LCM of 130,826,750,402,840 is 1079169000.

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

• LCM of 218, 770, 750, 933, 958
• LCM of 197, 195, 210, 136, 525
• LCM of 154, 647, 229, 274, 407
• LCM of 652, 156, 368, 926, 557
• LCM of 717, 891, 356, 108, 529

1. What is the LCM of 130, 826, 750, 402, 840?

Answer: LCM of 130, 826, 750, 402, 840 is 1079169000.

2. How to calculate the LCM of 130, 826, 750, 402, 840?

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 130, 826, 750, 402, 840.

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}.