Given numbers are 707,816,406,224,311

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

The LCM of 707,816,406,224,311 is 10406338656.

Find LCM of 707,816,406,224,311 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 101 x 51 x 29 x 2 x 311 = 10406338656

Therefore, the lowest common multiple of 707,816,406,224,311 is 10406338656.

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.

707 x 816 x 406 x 224 x 311 = 16317139012608

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.

707 : 1, 7, 101, 707

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,816,406,224,311, is 1.

Now, the common factors can be found like this.

707:7x 101

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

406:2x 7x 29

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

311:311

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 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 16317139012608/(1x1568)

LCM = 16317139012608/1568

LCM = 10406338656

Thus, we can understand that the LCM of 707,816,406,224,311 is 10406338656.

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

• LCM of 374, 503, 472, 330, 349
• LCM of 242, 648, 781, 576, 800
• LCM of 595, 108, 223, 885, 381
• LCM of 184, 494, 957, 236, 131
• LCM of 540, 949, 146, 324, 819

1. What is the LCM of 707, 816, 406, 224, 311?

Answer: LCM of 707, 816, 406, 224, 311 is 10406338656.

2. How to calculate the LCM of 707, 816, 406, 224, 311?

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 707, 816, 406, 224, 311.

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}.