Given numbers are 734,350,578,198

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

The LCM of 734,350,578,198 is 3675082950.

Find LCM of 734,350,578,198 with Prime Factorization

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

2 x 367 x 175 x 289 x 99 = 3675082950

Therefore, the lowest common multiple of 734,350,578,198 is 3675082950.

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 350 x 578 x 198 = 29400663600

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

578 : 1, 2, 17, 34, 289, 578

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,350,578,198, is 2.

Now, the common factors can be found like this.

734:2x 367

350:2x 5x 5x 7

578:2x 17x 17

198:2x 3x 3x 11

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 = 29400663600/(2x4)

LCM = 29400663600/8

LCM = 3675082950

Thus, we can understand that the LCM of 734,350,578,198 is 3675082950.

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

• LCM of 388, 854, 877, 498
• LCM of 954, 898, 709, 506
• LCM of 840, 976, 960, 162
• LCM of 571, 735, 945, 178
• LCM of 128, 439, 696, 269

1. What is the LCM of 734, 350, 578, 198?

Answer: LCM of 734, 350, 578, 198 is 3675082950.

2. How to calculate the LCM of 734, 350, 578, 198?

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, 350, 578, 198.

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}.