Given numbers are 428,436,900,716

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

The LCM of 428,436,900,716 is 1878909300.

Find LCM of 428,436,900,716 with Prime Factorization

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

2 x 2 x 107 x 109 x 225 x 179 = 1878909300

Therefore, the lowest common multiple of 428,436,900,716 is 1878909300.

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.

428 x 436 x 900 x 716 = 120250195200

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.

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

436 : 1, 2, 4, 109, 218, 436

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

716 : 1, 2, 4, 179, 358, 716

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,436,900,716, is 4.

Now, the common factors can be found like this.

428:2x 2x 107

436:2x 2x 109

900:2x 2x 3x 3x 5x 5

716:2x 2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 120250195200/(4x16)

LCM = 120250195200/64

LCM = 1878909300

Thus, we can understand that the LCM of 428,436,900,716 is 1878909300.

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

• LCM of 570, 276, 298, 249
• LCM of 417, 787, 675, 576
• LCM of 295, 933, 813, 404
• LCM of 269, 657, 194, 119
• LCM of 503, 405, 247, 698

1. What is the LCM of 428, 436, 900, 716?

Answer: LCM of 428, 436, 900, 716 is 1878909300.

2. How to calculate the LCM of 428, 436, 900, 716?

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 428, 436, 900, 716.

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}.