Given numbers are 338,560,290,286,679

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

The LCM of 338,560,290,286,679 is 2928445520.

Find LCM of 338,560,290,286,679 with Prime Factorization

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

2 x 5 x 7 x 13 x 13 x 8 x 29 x 11 x 97 = 2928445520

Therefore, the lowest common multiple of 338,560,290,286,679 is 2928445520.

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 560 x 290 x 286 x 679 = 10659541692800

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

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

286 : 1, 2, 11, 13, 22, 26, 143, 286

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,560,290,286,679, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

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

290:2x 5x 29

286:2x 11x 13

679:7x 97

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 5x 7x 13 = 3640

Therefore, the value for common factors is 3640.

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 = 10659541692800/(1x3640)

LCM = 10659541692800/3640

LCM = 2928445520

Thus, we can understand that the LCM of 338,560,290,286,679 is 2928445520.

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

• LCM of 337, 493, 671, 331, 123
• LCM of 754, 104, 450, 499, 262
• LCM of 578, 436, 901, 539, 485
• LCM of 337, 704, 503, 172, 498
• LCM of 938, 450, 462, 697, 953

1. What is the LCM of 338, 560, 290, 286, 679?

Answer: LCM of 338, 560, 290, 286, 679 is 2928445520.

2. How to calculate the LCM of 338, 560, 290, 286, 679?

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, 560, 290, 286, 679.

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}.