Given numbers are 644,860,106,638,760

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

The LCM of 644,860,106,638,760 is 88955842360.

Find LCM of 644,860,106,638,760 with Prime Factorization

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

2 x 2 x 5 x 161 x 43 x 53 x 319 x 38 = 88955842360

Therefore, the lowest common multiple of 644,860,106,638,760 is 88955842360.

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.

644 x 860 x 106 x 638 x 760 = 28465869555200

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

106 : 1, 2, 53, 106

638 : 1, 2, 11, 22, 29, 58, 319, 638

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,860,106,638,760, is 2.

Now, the common factors can be found like this.

644:2x 2x 7x 23

860:2x 2x 5x 43

106:2x 53

638:2x 11x 29

760:2x 2x 2x 5x 19

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 28465869555200/(2x160)

LCM = 28465869555200/320

LCM = 88955842360

Thus, we can understand that the LCM of 644,860,106,638,760 is 88955842360.

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

• LCM of 778, 955, 715, 202, 616
• LCM of 362, 534, 864, 687, 518
• LCM of 641, 143, 899, 200, 998
• LCM of 981, 864, 587, 645, 420
• LCM of 388, 300, 546, 630, 133

1. What is the LCM of 644, 860, 106, 638, 760?

Answer: LCM of 644, 860, 106, 638, 760 is 88955842360.

2. How to calculate the LCM of 644, 860, 106, 638, 760?

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 644, 860, 106, 638, 760.

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}.