Given numbers are 319,523,504,920

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

The LCM of 319,523,504,920 is 9669872520.

Find LCM of 319,523,504,920 with Prime Factorization

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

2 x 2 x 2 x 319 x 523 x 63 x 115 = 9669872520

Therefore, the lowest common multiple of 319,523,504,920 is 9669872520.

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 523 x 504 x 920 = 77358980160

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

523 : 1, 523

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,523,504,920, is 1.

Now, the common factors can be found like this.

319:11x 29

523:523

504:2x 2x 2x 3x 3x 7

920:2x 2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 77358980160/(1x8)

LCM = 77358980160/8

LCM = 9669872520

Thus, we can understand that the LCM of 319,523,504,920 is 9669872520.

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

• LCM of 485, 771, 287, 186
• LCM of 791, 613, 628, 501
• LCM of 171, 828, 985, 270
• LCM of 484, 972, 955, 832
• LCM of 655, 935, 638, 622

1. What is the LCM of 319, 523, 504, 920?

Answer: LCM of 319, 523, 504, 920 is 9669872520.

2. How to calculate the LCM of 319, 523, 504, 920?

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, 523, 504, 920.

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}.