Given numbers are 560,339,642,910,865

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

The LCM of 560,339,642,910,865 is 45683667120.

Find LCM of 560,339,642,910,865 with Prime Factorization

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

2 x 3 x 5 x 7 x 8 x 113 x 107 x 13 x 173 = 45683667120

Therefore, the lowest common multiple of 560,339,642,910,865 is 45683667120.

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.

560 x 339 x 642 x 910 x 865 = 95935700952000

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.

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

339 : 1, 3, 113, 339

642 : 1, 2, 3, 6, 107, 214, 321, 642

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,339,642,910,865, is 1.

Now, the common factors can be found like this.

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

339:3x 113

642:2x 3x 107

910:2x 5x 7x 13

865:5x 173

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 3x 5x 5x 7 = 2100

Therefore, the value for common factors is 2100.

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 = 95935700952000/(1x2100)

LCM = 95935700952000/2100

LCM = 45683667120

Thus, we can understand that the LCM of 560,339,642,910,865 is 45683667120.

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

• LCM of 435, 471, 660, 570, 543
• LCM of 881, 752, 530, 943, 993
• LCM of 558, 972, 341, 595, 671
• LCM of 964, 362, 362, 547, 644
• LCM of 115, 915, 846, 729, 987

1. What is the LCM of 560, 339, 642, 910, 865?

Answer: LCM of 560, 339, 642, 910, 865 is 45683667120.

2. How to calculate the LCM of 560, 339, 642, 910, 865?

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 560, 339, 642, 910, 865.

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}.