Given numbers are 338,318,924,566,780

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

The LCM of 338,318,924,566,780 is 11710919220.

Find LCM of 338,318,924,566,780 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 53 x 77 x 283 x 5 = 11710919220

Therefore, the lowest common multiple of 338,318,924,566,780 is 11710919220.

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 318 x 924 x 566 x 780 = 43845681559680

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

566 : 1, 2, 283, 566

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,318,924,566,780, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

318:2x 3x 53

924:2x 2x 3x 7x 11

566:2x 283

780:2x 2x 3x 5x 13

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 43845681559680/(2x1872)

LCM = 43845681559680/3744

LCM = 11710919220

Thus, we can understand that the LCM of 338,318,924,566,780 is 11710919220.

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

• LCM of 588, 885, 536, 148, 392
• LCM of 396, 376, 317, 597, 925
• LCM of 306, 416, 271, 743, 704
• LCM of 206, 848, 992, 843, 924
• LCM of 286, 110, 555, 408, 945

1. What is the LCM of 338, 318, 924, 566, 780?

Answer: LCM of 338, 318, 924, 566, 780 is 11710919220.

2. How to calculate the LCM of 338, 318, 924, 566, 780?

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, 318, 924, 566, 780.

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}.