Given numbers are 398,344,177,532,428

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

The LCM of 398,344,177,532,428 is 172432928472.

Find LCM of 398,344,177,532,428 with Prime Factorization

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

2 x 2 x 199 x 86 x 177 x 133 x 107 = 172432928472

Therefore, the lowest common multiple of 398,344,177,532,428 is 172432928472.

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 344 x 177 x 532 x 428 = 5517853711104

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

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

177 : 1, 3, 59, 177

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,344,177,532,428, is 1.

Now, the common factors can be found like this.

398:2x 199

344:2x 2x 2x 43

177:3x 59

532:2x 2x 7x 19

428:2x 2x 107

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 5517853711104/(1x32)

LCM = 5517853711104/32

LCM = 172432928472

Thus, we can understand that the LCM of 398,344,177,532,428 is 172432928472.

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

• LCM of 959, 526, 570, 574, 106
• LCM of 410, 222, 110, 712, 119
• LCM of 478, 243, 758, 762, 952
• LCM of 295, 148, 425, 267, 515
• LCM of 575, 558, 983, 424, 182

1. What is the LCM of 398, 344, 177, 532, 428?

Answer: LCM of 398, 344, 177, 532, 428 is 172432928472.

2. How to calculate the LCM of 398, 344, 177, 532, 428?

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, 344, 177, 532, 428.

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}.