Given numbers are 383,828,444,708,660

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

The LCM of 383,828,444,708,660 is 38075493060.

Find LCM of 383,828,444,708,660 with Prime Factorization

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

2 x 2 x 3 x 383 x 69 x 37 x 59 x 55 = 38075493060

Therefore, the lowest common multiple of 383,828,444,708,660 is 38075493060.

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.

383 x 828 x 444 x 708 x 660 = 65794452007680

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.

383 : 1, 383

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,828,444,708,660, is 1.

Now, the common factors can be found like this.

383:383

828:2x 2x 3x 3x 23

444:2x 2x 3x 37

708:2x 2x 3x 59

660:2x 2x 3x 5x 11

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 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 65794452007680/(1x1728)

LCM = 65794452007680/1728

LCM = 38075493060

Thus, we can understand that the LCM of 383,828,444,708,660 is 38075493060.

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

• LCM of 321, 303, 477, 420, 889
• LCM of 810, 941, 795, 511, 676
• LCM of 159, 507, 168, 825, 530
• LCM of 128, 484, 926, 149, 959
• LCM of 706, 877, 358, 719, 467

1. What is the LCM of 383, 828, 444, 708, 660?

Answer: LCM of 383, 828, 444, 708, 660 is 38075493060.

2. How to calculate the LCM of 383, 828, 444, 708, 660?

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 383, 828, 444, 708, 660.

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}.