Given numbers are 702,414,388,408

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

The LCM of 702,414,388,408 is 106499016.

Find LCM of 702,414,388,408 with Prime Factorization

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

2 x 2 x 3 x 3 x 39 x 23 x 97 x 34 = 106499016

Therefore, the lowest common multiple of 702,414,388,408 is 106499016.

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 414 x 388 x 408 = 46007574912

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

388 : 1, 2, 4, 97, 194, 388

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,414,388,408, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

414:2x 3x 3x 23

388:2x 2x 97

408:2x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 46007574912/(2x216)

LCM = 46007574912/432

LCM = 106499016

Thus, we can understand that the LCM of 702,414,388,408 is 106499016.

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

• LCM of 209, 556, 478, 874
• LCM of 450, 666, 528, 139
• LCM of 917, 332, 845, 981
• LCM of 275, 472, 250, 171
• LCM of 325, 639, 532, 269

1. What is the LCM of 702, 414, 388, 408?

Answer: LCM of 702, 414, 388, 408 is 106499016.

2. How to calculate the LCM of 702, 414, 388, 408?

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, 414, 388, 408.

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}.