Given numbers are 313,286,508,381

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

The LCM of 313,286,508,381 is 68212716.

Find LCM of 313,286,508,381 with Prime Factorization

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

2 x 127 x 313 x 143 x 2 x 3 = 68212716

Therefore, the lowest common multiple of 313,286,508,381 is 68212716.

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.

313 x 286 x 508 x 381 = 17326029864

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.

313 : 1, 313

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

508 : 1, 2, 4, 127, 254, 508

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,286,508,381, is 1.

Now, the common factors can be found like this.

313:313

286:2x 11x 13

508:2x 2x 127

381:3x 127

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

2x 127 = 254

Therefore, the value for common factors is 254.

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 = 17326029864/(1x254)

LCM = 17326029864/254

LCM = 68212716

Thus, we can understand that the LCM of 313,286,508,381 is 68212716.

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

• LCM of 605, 521, 516, 989
• LCM of 532, 266, 505, 810
• LCM of 714, 329, 363, 787
• LCM of 505, 755, 791, 230
• LCM of 288, 289, 812, 553

1. What is the LCM of 313, 286, 508, 381?

Answer: LCM of 313, 286, 508, 381 is 68212716.

2. How to calculate the LCM of 313, 286, 508, 381?

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 313, 286, 508, 381.

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}.