Given numbers are 840,444,780,460

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

The LCM of 840,444,780,460 is 9292920.

Find LCM of 840,444,780,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 14 x 37 x 13 x 23 = 9292920

Therefore, the lowest common multiple of 840,444,780,460 is 9292920.

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.

840 x 444 x 780 x 460 = 133818048000

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.

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,444,780,460, is 4.

Now, the common factors can be found like this.

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

444:2x 2x 3x 37

780:2x 2x 3x 5x 13

460:2x 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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 133818048000/(4x3600)

LCM = 133818048000/14400

LCM = 9292920

Thus, we can understand that the LCM of 840,444,780,460 is 9292920.

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

• LCM of 155, 716, 737, 558
• LCM of 474, 659, 740, 871
• LCM of 350, 258, 905, 626
• LCM of 725, 559, 249, 291
• LCM of 367, 757, 895, 522

1. What is the LCM of 840, 444, 780, 460?

Answer: LCM of 840, 444, 780, 460 is 9292920.

2. How to calculate the LCM of 840, 444, 780, 460?

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 840, 444, 780, 460.

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}.