Given numbers are 742,388,149,339,406

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

The LCM of 742,388,149,339,406 is 210857765412.

Find LCM of 742,388,149,339,406 with Prime Factorization

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

2 x 7 x 53 x 194 x 149 x 339 x 29 = 210857765412

Therefore, the lowest common multiple of 742,388,149,339,406 is 210857765412.

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.

742 x 388 x 149 x 339 x 406 = 5904017431536

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

149 : 1, 149

339 : 1, 3, 113, 339

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,388,149,339,406, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

388:2x 2x 97

149:149

339:3x 113

406:2x 7x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 5904017431536/(1x28)

LCM = 5904017431536/28

LCM = 210857765412

Thus, we can understand that the LCM of 742,388,149,339,406 is 210857765412.

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

• LCM of 353, 714, 505, 892, 973
• LCM of 722, 479, 528, 530, 175
• LCM of 828, 627, 159, 798, 124
• LCM of 610, 570, 642, 642, 709
• LCM of 318, 778, 739, 560, 566

1. What is the LCM of 742, 388, 149, 339, 406?

Answer: LCM of 742, 388, 149, 339, 406 is 210857765412.

2. How to calculate the LCM of 742, 388, 149, 339, 406?

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 742, 388, 149, 339, 406.

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}.