Given numbers are 398,135,489,688

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

The LCM of 398,135,489,688 is 3012748560.

Find LCM of 398,135,489,688 with Prime Factorization

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

2 x 3 x 199 x 45 x 163 x 344 = 3012748560

Therefore, the lowest common multiple of 398,135,489,688 is 3012748560.

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.

398 x 135 x 489 x 688 = 18076491360

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.

398 : 1, 2, 199, 398

135 : 1, 3, 5, 9, 15, 27, 45, 135

489 : 1, 3, 163, 489

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,135,489,688, is 1.

Now, the common factors can be found like this.

398:2x 199

135:3x 3x 3x 5

489:3x 163

688:2x 2x 2x 2x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 18076491360/(1x6)

LCM = 18076491360/6

LCM = 3012748560

Thus, we can understand that the LCM of 398,135,489,688 is 3012748560.

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

• LCM of 475, 318, 670, 390
• LCM of 515, 468, 514, 410
• LCM of 525, 724, 100, 732
• LCM of 701, 781, 910, 411
• LCM of 274, 564, 699, 245

1. What is the LCM of 398, 135, 489, 688?

Answer: LCM of 398, 135, 489, 688 is 3012748560.

2. How to calculate the LCM of 398, 135, 489, 688?

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 398, 135, 489, 688.

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}.