Given numbers are 506,726,828,799,750

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

The LCM of 506,726,828,799,750 is 10006276500.

Find LCM of 506,726,828,799,750 with Prime Factorization

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

2 x 3 x 11 x 23 x 1 x 11 x 6 x 799 x 125 = 10006276500

Therefore, the lowest common multiple of 506,726,828,799,750 is 10006276500.

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.

506 x 726 x 828 x 799 x 750 = 182274332724000

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

799 : 1, 17, 47, 799

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,726,828,799,750, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

726:2x 3x 11x 11

828:2x 2x 3x 3x 23

799:17x 47

750:2x 3x 5x 5x 5

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 3x 3x 11x 23 = 18216

Therefore, the value for common factors is 18216.

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 = 182274332724000/(1x18216)

LCM = 182274332724000/18216

LCM = 10006276500

Thus, we can understand that the LCM of 506,726,828,799,750 is 10006276500.

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

• LCM of 768, 771, 617, 646, 696
• LCM of 895, 187, 335, 690, 930
• LCM of 309, 338, 933, 402, 612
• LCM of 898, 123, 518, 841, 123
• LCM of 622, 426, 849, 519, 431

1. What is the LCM of 506, 726, 828, 799, 750?

Answer: LCM of 506, 726, 828, 799, 750 is 10006276500.

2. How to calculate the LCM of 506, 726, 828, 799, 750?

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 506, 726, 828, 799, 750.

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}.