Given numbers are 230,780,900,840

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

The LCM of 230,780,900,840 is 3767400.

Find LCM of 230,780,900,840 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 13 x 15 x 14 = 3767400

Therefore, the lowest common multiple of 230,780,900,840 is 3767400.

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.

230 x 780 x 900 x 840 = 135626400000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,780,900,840, is 10.

Now, the common factors can be found like this.

230:2x 5x 23

780:2x 2x 3x 5x 13

900:2x 2x 3x 3x 5x 5

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 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 = 135626400000/(10x3600)

LCM = 135626400000/36000

LCM = 3767400

Thus, we can understand that the LCM of 230,780,900,840 is 3767400.

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

• LCM of 400, 842, 514, 634
• LCM of 281, 247, 181, 438
• LCM of 300, 713, 101, 820
• LCM of 468, 488, 949, 256
• LCM of 847, 787, 350, 172

1. What is the LCM of 230, 780, 900, 840?

Answer: LCM of 230, 780, 900, 840 is 3767400.

2. How to calculate the LCM of 230, 780, 900, 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 230, 780, 900, 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}.