Given numbers are 706,834,920,514

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

The LCM of 706,834,920,514 is 34804204440.

Find LCM of 706,834,920,514 with Prime Factorization

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

2 x 353 x 417 x 460 x 257 = 34804204440

Therefore, the lowest common multiple of 706,834,920,514 is 34804204440.

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.

706 x 834 x 920 x 514 = 278433635520

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.

706 : 1, 2, 353, 706

834 : 1, 2, 3, 6, 139, 278, 417, 834

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,834,920,514, is 2.

Now, the common factors can be found like this.

706:2x 353

834:2x 3x 139

920:2x 2x 2x 5x 23

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 278433635520/(2x4)

LCM = 278433635520/8

LCM = 34804204440

Thus, we can understand that the LCM of 706,834,920,514 is 34804204440.

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

• LCM of 948, 351, 485, 452
• LCM of 228, 828, 314, 360
• LCM of 482, 323, 822, 355
• LCM of 878, 359, 442, 323
• LCM of 953, 108, 854, 739

1. What is the LCM of 706, 834, 920, 514?

Answer: LCM of 706, 834, 920, 514 is 34804204440.

2. How to calculate the LCM of 706, 834, 920, 514?

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 706, 834, 920, 514.

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}.