Given numbers are 857,268,372,426,375

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

The LCM of 857,268,372,426,375 is 189568828500.

Find LCM of 857,268,372,426,375 with Prime Factorization

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

2 x 2 x 3 x 857 x 67 x 31 x 71 x 125 = 189568828500

Therefore, the lowest common multiple of 857,268,372,426,375 is 189568828500.

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.

857 x 268 x 372 x 426 x 375 = 13648955652000

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.

857 : 1, 857

268 : 1, 2, 4, 67, 134, 268

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

426 : 1, 2, 3, 6, 71, 142, 213, 426

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,268,372,426,375, is 1.

Now, the common factors can be found like this.

857:857

268:2x 2x 67

372:2x 2x 3x 31

426:2x 3x 71

375:3x 5x 5x 5

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 3 = 72

Therefore, the value for common factors is 72.

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 = 13648955652000/(1x72)

LCM = 13648955652000/72

LCM = 189568828500

Thus, we can understand that the LCM of 857,268,372,426,375 is 189568828500.

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

• LCM of 643, 622, 598, 386, 559
• LCM of 224, 785, 612, 313, 444
• LCM of 273, 494, 425, 634, 271
• LCM of 888, 347, 508, 439, 392
• LCM of 475, 865, 157, 432, 317

1. What is the LCM of 857, 268, 372, 426, 375?

Answer: LCM of 857, 268, 372, 426, 375 is 189568828500.

2. How to calculate the LCM of 857, 268, 372, 426, 375?

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 857, 268, 372, 426, 375.

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}.