Given numbers are 319,224,780,983

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

The LCM of 319,224,780,983 is 13697043360.

Find LCM of 319,224,780,983 with Prime Factorization

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

2 x 2 x 319 x 56 x 195 x 983 = 13697043360

Therefore, the lowest common multiple of 319,224,780,983 is 13697043360.

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.

319 x 224 x 780 x 983 = 54788173440

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.

319 : 1, 11, 29, 319

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,224,780,983, is 1.

Now, the common factors can be found like this.

319:11x 29

224:2x 2x 2x 2x 2x 7

780:2x 2x 3x 5x 13

983:983

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 54788173440/(1x4)

LCM = 54788173440/4

LCM = 13697043360

Thus, we can understand that the LCM of 319,224,780,983 is 13697043360.

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

• LCM of 187, 833, 542, 731
• LCM of 115, 911, 355, 413
• LCM of 157, 223, 863, 377
• LCM of 901, 146, 469, 172
• LCM of 679, 612, 857, 985

1. What is the LCM of 319, 224, 780, 983?

Answer: LCM of 319, 224, 780, 983 is 13697043360.

2. How to calculate the LCM of 319, 224, 780, 983?

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 319, 224, 780, 983.

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}.