Given numbers are 338,566,389,510,778

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

The LCM of 338,566,389,510,778 is 9488398530.

Find LCM of 338,566,389,510,778 with Prime Factorization

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

2 x 389 x 169 x 283 x 1 x 255 x 1 = 9488398530

Therefore, the lowest common multiple of 338,566,389,510,778 is 9488398530.

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 566 x 389 x 510 x 778 = 29527896225360

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

566 : 1, 2, 283, 566

389 : 1, 389

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,566,389,510,778, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

566:2x 283

389:389

510:2x 3x 5x 17

778:2x 389

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 389 = 3112

Therefore, the value for common factors is 3112.

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 = 29527896225360/(1x3112)

LCM = 29527896225360/3112

LCM = 9488398530

Thus, we can understand that the LCM of 338,566,389,510,778 is 9488398530.

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

• LCM of 932, 610, 529, 974, 994
• LCM of 175, 427, 771, 829, 160
• LCM of 563, 706, 969, 448, 368
• LCM of 307, 343, 265, 877, 237
• LCM of 983, 305, 968, 397, 622

1. What is the LCM of 338, 566, 389, 510, 778?

Answer: LCM of 338, 566, 389, 510, 778 is 9488398530.

2. How to calculate the LCM of 338, 566, 389, 510, 778?

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, 566, 389, 510, 778.

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}.