Given numbers are 810,706,686,264

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

The LCM of 810,706,686,264 is 4315255560.

Find LCM of 810,706,686,264 with Prime Factorization

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

2 x 3 x 135 x 353 x 343 x 44 = 4315255560

Therefore, the lowest common multiple of 810,706,686,264 is 4315255560.

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.

810 x 706 x 686 x 264 = 103566133440

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.

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

706 : 1, 2, 353, 706

686 : 1, 2, 7, 14, 49, 98, 343, 686

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,706,686,264, is 2.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

706:2x 353

686:2x 7x 7x 7

264:2x 2x 2x 3x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 103566133440/(2x12)

LCM = 103566133440/24

LCM = 4315255560

Thus, we can understand that the LCM of 810,706,686,264 is 4315255560.

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

• LCM of 347, 837, 964, 343
• LCM of 437, 196, 337, 169
• LCM of 618, 565, 703, 952
• LCM of 644, 266, 167, 704
• LCM of 980, 428, 789, 491

1. What is the LCM of 810, 706, 686, 264?

Answer: LCM of 810, 706, 686, 264 is 4315255560.

2. How to calculate the LCM of 810, 706, 686, 264?

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 810, 706, 686, 264.

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}.