Given numbers are 528,407,750,856

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

The LCM of 528,407,750,856 is 261294000.

Find LCM of 528,407,750,856 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 2 x 37 x 125 x 107 = 261294000

Therefore, the lowest common multiple of 528,407,750,856 is 261294000.

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.

528 x 407 x 750 x 856 = 137963232000

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

407 : 1, 11, 37, 407

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,407,750,856, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

407:11x 37

750:2x 3x 5x 5x 5

856:2x 2x 2x 107

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 137963232000/(1x528)

LCM = 137963232000/528

LCM = 261294000

Thus, we can understand that the LCM of 528,407,750,856 is 261294000.

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

• LCM of 540, 812, 328, 100
• LCM of 726, 878, 280, 904
• LCM of 971, 220, 612, 675
• LCM of 180, 668, 806, 534
• LCM of 710, 623, 139, 389

1. What is the LCM of 528, 407, 750, 856?

Answer: LCM of 528, 407, 750, 856 is 261294000.

2. How to calculate the LCM of 528, 407, 750, 856?

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 528, 407, 750, 856.

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}.