Given numbers are 319,742,560,581,126

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

The LCM of 319,742,560,581,126 is 7072536240.

Find LCM of 319,742,560,581,126 with Prime Factorization

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

2 x 7 x 319 x 53 x 40 x 83 x 9 = 7072536240

Therefore, the lowest common multiple of 319,742,560,581,126 is 7072536240.

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 742 x 560 x 581 x 126 = 9703519721280

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

581 : 1, 7, 83, 581

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,742,560,581,126, is 1.

Now, the common factors can be found like this.

319:11x 29

742:2x 7x 53

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

581:7x 83

126:2x 3x 3x 7

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 7x 7x 7 = 1372

Therefore, the value for common factors is 1372.

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 = 9703519721280/(1x1372)

LCM = 9703519721280/1372

LCM = 7072536240

Thus, we can understand that the LCM of 319,742,560,581,126 is 7072536240.

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

• LCM of 996, 403, 634, 935, 826
• LCM of 287, 150, 739, 971, 108
• LCM of 951, 401, 243, 872, 714
• LCM of 809, 649, 170, 331, 352
• LCM of 826, 536, 143, 788, 988

1. What is the LCM of 319, 742, 560, 581, 126?

Answer: LCM of 319, 742, 560, 581, 126 is 7072536240.

2. How to calculate the LCM of 319, 742, 560, 581, 126?

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, 742, 560, 581, 126.

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}.