Given numbers are 416,605,864,224

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

The LCM of 416,605,864,224 is 47567520.

Find LCM of 416,605,864,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 13 x 605 x 27 x 7 = 47567520

Therefore, the lowest common multiple of 416,605,864,224 is 47567520.

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.

416 x 605 x 864 x 224 = 48709140480

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

605 : 1, 5, 11, 55, 121, 605

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,605,864,224, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

605:5x 11x 11

864:2x 2x 2x 2x 2x 3x 3x 3

224:2x 2x 2x 2x 2x 7

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 2x 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 48709140480/(1x1024)

LCM = 48709140480/1024

LCM = 47567520

Thus, we can understand that the LCM of 416,605,864,224 is 47567520.

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

• LCM of 409, 215, 711, 534
• LCM of 158, 582, 187, 293
• LCM of 595, 532, 706, 937
• LCM of 360, 690, 726, 141
• LCM of 655, 636, 915, 165

1. What is the LCM of 416, 605, 864, 224?

Answer: LCM of 416, 605, 864, 224 is 47567520.

2. How to calculate the LCM of 416, 605, 864, 224?

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 416, 605, 864, 224.

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}.