Given numbers are 414,278,794,563,370

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

The LCM of 414,278,794,563,370 is 2379500341110.

Find LCM of 414,278,794,563,370 with Prime Factorization

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

2 x 207 x 139 x 397 x 563 x 185 = 2379500341110

Therefore, the lowest common multiple of 414,278,794,563,370 is 2379500341110.

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 278 x 794 x 563 x 370 = 19036002728880

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

278 : 1, 2, 139, 278

794 : 1, 2, 397, 794

563 : 1, 563

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,278,794,563,370, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

278:2x 139

794:2x 397

563:563

370:2x 5x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 19036002728880/(1x8)

LCM = 19036002728880/8

LCM = 2379500341110

Thus, we can understand that the LCM of 414,278,794,563,370 is 2379500341110.

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

• LCM of 533, 489, 666, 820, 151
• LCM of 627, 859, 741, 507, 347
• LCM of 868, 970, 183, 685, 258
• LCM of 342, 971, 617, 328, 219
• LCM of 972, 219, 903, 109, 485

1. What is the LCM of 414, 278, 794, 563, 370?

Answer: LCM of 414, 278, 794, 563, 370 is 2379500341110.

2. How to calculate the LCM of 414, 278, 794, 563, 370?

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, 278, 794, 563, 370.

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}.