Given numbers are 130,145,560,420

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

The LCM of 130,145,560,420 is 633360.

Find LCM of 130,145,560,420 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 29 x 4 x 3 = 633360

Therefore, the lowest common multiple of 130,145,560,420 is 633360.

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 145 x 560 x 420 = 4433520000

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

145 : 1, 5, 29, 145

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,145,560,420, is 5.

Now, the common factors can be found like this.

130:2x 5x 13

145:5x 29

560:2x 2x 2x 2x 5x 7

420:2x 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 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 4433520000/(5x1400)

LCM = 4433520000/7000

LCM = 633360

Thus, we can understand that the LCM of 130,145,560,420 is 633360.

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

• LCM of 520, 829, 631, 789
• LCM of 657, 616, 441, 550
• LCM of 806, 850, 906, 870
• LCM of 554, 550, 389, 609
• LCM of 597, 493, 105, 690

1. What is the LCM of 130, 145, 560, 420?

Answer: LCM of 130, 145, 560, 420 is 633360.

2. How to calculate the LCM of 130, 145, 560, 420?

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, 145, 560, 420.

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}.