Given numbers are 381,464,561,720

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

The LCM of 381,464,561,720 is 495879120.

Find LCM of 381,464,561,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 127 x 29 x 187 x 15 = 495879120

Therefore, the lowest common multiple of 381,464,561,720 is 495879120.

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.

381 x 464 x 561 x 720 = 71406593280

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.

381 : 1, 3, 127, 381

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

561 : 1, 3, 11, 17, 33, 51, 187, 561

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,464,561,720, is 1.

Now, the common factors can be found like this.

381:3x 127

464:2x 2x 2x 2x 29

561:3x 11x 17

720:2x 2x 2x 2x 3x 3x 5

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 3 = 144

Therefore, the value for common factors is 144.

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 = 71406593280/(1x144)

LCM = 71406593280/144

LCM = 495879120

Thus, we can understand that the LCM of 381,464,561,720 is 495879120.

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

• LCM of 297, 937, 696, 833
• LCM of 406, 683, 895, 535
• LCM of 719, 853, 276, 574
• LCM of 570, 205, 809, 697
• LCM of 230, 769, 853, 951

1. What is the LCM of 381, 464, 561, 720?

Answer: LCM of 381, 464, 561, 720 is 495879120.

2. How to calculate the LCM of 381, 464, 561, 720?

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 381, 464, 561, 720.

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}.