Given numbers are 318,381,880,107,413

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

The LCM of 318,381,880,107,413 is 785266999440.

Find LCM of 318,381,880,107,413 with Prime Factorization

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

2 x 3 x 53 x 127 x 440 x 107 x 413 = 785266999440

Therefore, the lowest common multiple of 318,381,880,107,413 is 785266999440.

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.

318 x 381 x 880 x 107 x 413 = 4711601996640

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.

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

381 : 1, 3, 127, 381

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

107 : 1, 107

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,381,880,107,413, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

381:3x 127

880:2x 2x 2x 2x 5x 11

107:107

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4711601996640/(1x6)

LCM = 4711601996640/6

LCM = 785266999440

Thus, we can understand that the LCM of 318,381,880,107,413 is 785266999440.

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

• LCM of 772, 422, 934, 781, 844
• LCM of 752, 297, 335, 889, 670
• LCM of 388, 414, 649, 448, 542
• LCM of 639, 154, 268, 293, 467
• LCM of 283, 453, 322, 123, 439

1. What is the LCM of 318, 381, 880, 107, 413?

Answer: LCM of 318, 381, 880, 107, 413 is 785266999440.

2. How to calculate the LCM of 318, 381, 880, 107, 413?

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 318, 381, 880, 107, 413.

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}.