Given numbers are 338,780,560,283,704

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

The LCM of 338,780,560,283,704 is 3535371840.

Find LCM of 338,780,560,283,704 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 13 x 13 x 3 x 7 x 283 x 44 = 3535371840

Therefore, the lowest common multiple of 338,780,560,283,704 is 3535371840.

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.

338 x 780 x 560 x 283 x 704 = 29414293708800

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.

338 : 1, 2, 13, 26, 169, 338

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

283 : 1, 283

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,780,560,283,704, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

780:2x 2x 3x 5x 13

560:2x 2x 2x 2x 5x 7

283:283

704:2x 2x 2x 2x 2x 2x 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 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 29414293708800/(1x8320)

LCM = 29414293708800/8320

LCM = 3535371840

Thus, we can understand that the LCM of 338,780,560,283,704 is 3535371840.

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

• LCM of 770, 597, 724, 786, 184
• LCM of 371, 208, 298, 584, 786
• LCM of 374, 742, 604, 446, 132
• LCM of 776, 960, 701, 465, 774
• LCM of 843, 956, 378, 215, 319

1. What is the LCM of 338, 780, 560, 283, 704?

Answer: LCM of 338, 780, 560, 283, 704 is 3535371840.

2. How to calculate the LCM of 338, 780, 560, 283, 704?

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 338, 780, 560, 283, 704.

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}.