Given numbers are 750,772,406,713,689

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

The LCM of 750,772,406,713,689 is 28870437004500.

Find LCM of 750,772,406,713,689 with Prime Factorization

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

2 x 375 x 386 x 203 x 713 x 689 = 28870437004500

Therefore, the lowest common multiple of 750,772,406,713,689 is 28870437004500.

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.

750 x 772 x 406 x 713 x 689 = 115481748018000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

772 : 1, 2, 4, 193, 386, 772

406 : 1, 2, 7, 14, 29, 58, 203, 406

713 : 1, 23, 31, 713

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,772,406,713,689, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

772:2x 2x 193

406:2x 7x 29

713:23x 31

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 115481748018000/(1x4)

LCM = 115481748018000/4

LCM = 28870437004500

Thus, we can understand that the LCM of 750,772,406,713,689 is 28870437004500.

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

• LCM of 620, 514, 140, 664, 314
• LCM of 220, 821, 594, 750, 667
• LCM of 534, 924, 460, 464, 784
• LCM of 724, 220, 538, 816, 591
• LCM of 519, 500, 326, 995, 442

1. What is the LCM of 750, 772, 406, 713, 689?

Answer: LCM of 750, 772, 406, 713, 689 is 28870437004500.

2. How to calculate the LCM of 750, 772, 406, 713, 689?

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 750, 772, 406, 713, 689.

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}.