Given numbers are 416,474,328,816

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

The LCM of 416,474,328,816 is 68718624.

Find LCM of 416,474,328,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 26 x 79 x 41 x 17 = 68718624

Therefore, the lowest common multiple of 416,474,328,816 is 68718624.

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 474 x 328 x 816 = 52775903232

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

328 : 1, 2, 4, 8, 41, 82, 164, 328

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,474,328,816, is 2.

Now, the common factors can be found like this.

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

474:2x 3x 79

328:2x 2x 2x 41

816:2x 2x 2x 2x 3x 17

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 3 = 384

Therefore, the value for common factors is 384.

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 = 52775903232/(2x384)

LCM = 52775903232/768

LCM = 68718624

Thus, we can understand that the LCM of 416,474,328,816 is 68718624.

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

• LCM of 736, 713, 804, 616
• LCM of 558, 372, 791, 852
• LCM of 499, 338, 929, 869
• LCM of 580, 104, 819, 107
• LCM of 300, 989, 789, 801

1. What is the LCM of 416, 474, 328, 816?

Answer: LCM of 416, 474, 328, 816 is 68718624.

2. How to calculate the LCM of 416, 474, 328, 816?

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, 474, 328, 816.

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}.