Given numbers are 739,828,460,520,570

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

The LCM of 739,828,460,520,570 is 1511373240.

Find LCM of 739,828,460,520,570 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 739 x 3 x 1 x 26 x 19 = 1511373240

Therefore, the lowest common multiple of 739,828,460,520,570 is 1511373240.

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.

739 x 828 x 460 x 520 x 570 = 83427802848000

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.

739 : 1, 739

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,828,460,520,570, is 1.

Now, the common factors can be found like this.

739:739

828:2x 2x 3x 3x 23

460:2x 2x 5x 23

520:2x 2x 2x 5x 13

570:2x 3x 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 3x 5x 5x 23 = 55200

Therefore, the value for common factors is 55200.

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 = 83427802848000/(1x55200)

LCM = 83427802848000/55200

LCM = 1511373240

Thus, we can understand that the LCM of 739,828,460,520,570 is 1511373240.

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

• LCM of 185, 770, 487, 385, 752
• LCM of 726, 133, 240, 522, 671
• LCM of 804, 501, 980, 853, 156
• LCM of 822, 500, 116, 121, 686
• LCM of 915, 580, 657, 764, 745

1. What is the LCM of 739, 828, 460, 520, 570?

Answer: LCM of 739, 828, 460, 520, 570 is 1511373240.

2. How to calculate the LCM of 739, 828, 460, 520, 570?

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 739, 828, 460, 520, 570.

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}.