Given numbers are 242,320,480,830

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

The LCM of 242,320,480,830 is 9641280.

Find LCM of 242,320,480,830 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 121 x 2 x 3 x 83 = 9641280

Therefore, the lowest common multiple of 242,320,480,830 is 9641280.

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.

242 x 320 x 480 x 830 = 30852096000

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.

242 : 1, 2, 11, 22, 121, 242

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

830 : 1, 2, 5, 10, 83, 166, 415, 830

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,320,480,830, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

320:2x 2x 2x 2x 2x 2x 5

480:2x 2x 2x 2x 2x 3x 5

830:2x 5x 83

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 2x 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 30852096000/(2x1600)

LCM = 30852096000/3200

LCM = 9641280

Thus, we can understand that the LCM of 242,320,480,830 is 9641280.

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

• LCM of 918, 410, 399, 457
• LCM of 397, 978, 566, 611
• LCM of 620, 209, 189, 842
• LCM of 787, 798, 215, 546
• LCM of 740, 849, 400, 222

1. What is the LCM of 242, 320, 480, 830?

Answer: LCM of 242, 320, 480, 830 is 9641280.

2. How to calculate the LCM of 242, 320, 480, 830?

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 242, 320, 480, 830.

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}.