Given numbers are 414,828,277,810

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

The LCM of 414,828,277,810 is 10321020.

Find LCM of 414,828,277,810 with Prime Factorization

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

2 x 3 x 3 x 23 x 1 x 2 x 277 x 45 = 10321020

Therefore, the lowest common multiple of 414,828,277,810 is 10321020.

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.

414 x 828 x 277 x 810 = 76912241040

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

277 : 1, 277

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,828,277,810, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

828:2x 2x 3x 3x 23

277:277

810:2x 3x 3x 3x 3x 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 3x 3x 3x 3x 23 = 7452

Therefore, the value for common factors is 7452.

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 = 76912241040/(1x7452)

LCM = 76912241040/7452

LCM = 10321020

Thus, we can understand that the LCM of 414,828,277,810 is 10321020.

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

• LCM of 147, 108, 417, 596
• LCM of 593, 587, 112, 388
• LCM of 776, 685, 227, 920
• LCM of 100, 808, 437, 819
• LCM of 468, 467, 658, 635

1. What is the LCM of 414, 828, 277, 810?

Answer: LCM of 414, 828, 277, 810 is 10321020.

2. How to calculate the LCM of 414, 828, 277, 810?

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 414, 828, 277, 810.

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}.