Given numbers are 745,455,860,550,690

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

The LCM of 745,455,860,550,690 is 44252508300.

Find LCM of 745,455,860,550,690 with Prime Factorization

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

2 x 5 x 149 x 91 x 86 x 55 x 69 = 44252508300

Therefore, the lowest common multiple of 745,455,860,550,690 is 44252508300.

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.

745 x 455 x 860 x 550 x 690 = 110631270750000

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.

745 : 1, 5, 149, 745

455 : 1, 5, 7, 13, 35, 65, 91, 455

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

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,455,860,550,690, is 5.

Now, the common factors can be found like this.

745:5x 149

455:5x 7x 13

860:2x 2x 5x 43

550:2x 5x 5x 11

690:2x 3x 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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 110631270750000/(5x500)

LCM = 110631270750000/2500

LCM = 44252508300

Thus, we can understand that the LCM of 745,455,860,550,690 is 44252508300.

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

• LCM of 788, 573, 800, 815, 460
• LCM of 243, 574, 339, 859, 234
• LCM of 346, 673, 966, 897, 178
• LCM of 238, 144, 346, 765, 416
• LCM of 986, 248, 129, 334, 157

1. What is the LCM of 745, 455, 860, 550, 690?

Answer: LCM of 745, 455, 860, 550, 690 is 44252508300.

2. How to calculate the LCM of 745, 455, 860, 550, 690?

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 745, 455, 860, 550, 690.

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}.