Given numbers are 702,768,306,686

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

The LCM of 702,768,306,686 is 523950336.

Find LCM of 702,768,306,686 with Prime Factorization

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

2 x 3 x 3 x 39 x 128 x 17 x 343 = 523950336

Therefore, the lowest common multiple of 702,768,306,686 is 523950336.

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.

702 x 768 x 306 x 686 = 113173272576

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,768,306,686, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

768:2x 2x 2x 2x 2x 2x 2x 2x 3

306:2x 3x 3x 17

686:2x 7x 7x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 113173272576/(2x108)

LCM = 113173272576/216

LCM = 523950336

Thus, we can understand that the LCM of 702,768,306,686 is 523950336.

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

• LCM of 506, 137, 930, 155
• LCM of 559, 142, 453, 312
• LCM of 369, 185, 918, 765
• LCM of 810, 211, 480, 245
• LCM of 709, 973, 494, 109

1. What is the LCM of 702, 768, 306, 686?

Answer: LCM of 702, 768, 306, 686 is 523950336.

2. How to calculate the LCM of 702, 768, 306, 686?

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 702, 768, 306, 686.

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}.