Given numbers are 734,308,193,413

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

The LCM of 734,308,193,413 is 1287140932.

Find LCM of 734,308,193,413 with Prime Factorization

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

2 x 7 x 367 x 22 x 193 x 59 = 1287140932

Therefore, the lowest common multiple of 734,308,193,413 is 1287140932.

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.

734 x 308 x 193 x 413 = 18019973048

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.

734 : 1, 2, 367, 734

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

193 : 1, 193

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,308,193,413, is 1.

Now, the common factors can be found like this.

734:2x 367

308:2x 2x 7x 11

193:193

413:7x 59

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 18019973048/(1x14)

LCM = 18019973048/14

LCM = 1287140932

Thus, we can understand that the LCM of 734,308,193,413 is 1287140932.

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

• LCM of 911, 652, 922, 538
• LCM of 930, 901, 233, 995
• LCM of 706, 619, 713, 725
• LCM of 578, 101, 613, 657
• LCM of 984, 481, 636, 144

1. What is the LCM of 734, 308, 193, 413?

Answer: LCM of 734, 308, 193, 413 is 1287140932.

2. How to calculate the LCM of 734, 308, 193, 413?

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 734, 308, 193, 413.

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}.