Given numbers are 838,353,678,249,720

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

The LCM of 838,353,678,249,720 is 998798222160.

Find LCM of 838,353,678,249,720 with Prime Factorization

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

2 x 3 x 419 x 353 x 113 x 83 x 120 = 998798222160

Therefore, the lowest common multiple of 838,353,678,249,720 is 998798222160.

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.

838 x 353 x 678 x 249 x 720 = 35956735997760

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.

838 : 1, 2, 419, 838

353 : 1, 353

678 : 1, 2, 3, 6, 113, 226, 339, 678

249 : 1, 3, 83, 249

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 838,353,678,249,720, is 1.

Now, the common factors can be found like this.

838:2x 419

353:353

678:2x 3x 113

249:3x 83

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 35956735997760/(1x36)

LCM = 35956735997760/36

LCM = 998798222160

Thus, we can understand that the LCM of 838,353,678,249,720 is 998798222160.

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

• LCM of 348, 248, 574, 758, 322
• LCM of 308, 961, 971, 412, 622
• LCM of 721, 812, 548, 334, 679
• LCM of 325, 383, 481, 940, 684
• LCM of 499, 570, 330, 929, 375

1. What is the LCM of 838, 353, 678, 249, 720?

Answer: LCM of 838, 353, 678, 249, 720 is 998798222160.

2. How to calculate the LCM of 838, 353, 678, 249, 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 838, 353, 678, 249, 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}.