Given numbers are 470,188,806,706,814

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

The LCM of 470,188,806,706,814 is 54425448220.

Find LCM of 470,188,806,706,814 with Prime Factorization

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

2 x 47 x 5 x 2 x 403 x 353 x 407 = 54425448220

Therefore, the lowest common multiple of 470,188,806,706,814 is 54425448220.

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.

470 x 188 x 806 x 706 x 814 = 40927937061440

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

188 : 1, 2, 4, 47, 94, 188

806 : 1, 2, 13, 26, 31, 62, 403, 806

706 : 1, 2, 353, 706

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,188,806,706,814, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

188:2x 2x 47

806:2x 13x 31

706:2x 353

814:2x 11x 37

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 47 = 376

Therefore, the value for common factors is 376.

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 = 40927937061440/(2x376)

LCM = 40927937061440/752

LCM = 54425448220

Thus, we can understand that the LCM of 470,188,806,706,814 is 54425448220.

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

• LCM of 425, 680, 532, 529, 496
• LCM of 517, 718, 306, 696, 112
• LCM of 381, 825, 877, 804, 248
• LCM of 240, 984, 685, 621, 687
• LCM of 836, 488, 717, 505, 741

1. What is the LCM of 470, 188, 806, 706, 814?

Answer: LCM of 470, 188, 806, 706, 814 is 54425448220.

2. How to calculate the LCM of 470, 188, 806, 706, 814?

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 470, 188, 806, 706, 814.

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}.