Given numbers are 268,352,864,474,428

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

The LCM of 268,352,864,474,428 is 5382599904.

Find LCM of 268,352,864,474,428 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 67 x 11 x 9 x 79 x 107 = 5382599904

Therefore, the lowest common multiple of 268,352,864,474,428 is 5382599904.

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.

268 x 352 x 864 x 474 x 428 = 16535346905088

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.

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,352,864,474,428, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

352:2x 2x 2x 2x 2x 11

864:2x 2x 2x 2x 2x 3x 3x 3

474:2x 3x 79

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 2x 2x 2x 2x 2x 3 = 1536

Therefore, the value for common factors is 1536.

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 = 16535346905088/(2x1536)

LCM = 16535346905088/3072

LCM = 5382599904

Thus, we can understand that the LCM of 268,352,864,474,428 is 5382599904.

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

• LCM of 362, 700, 363, 355, 628
• LCM of 198, 608, 800, 709, 536
• LCM of 908, 556, 940, 299, 914
• LCM of 611, 235, 796, 457, 931
• LCM of 574, 207, 655, 679, 427

1. What is the LCM of 268, 352, 864, 474, 428?

Answer: LCM of 268, 352, 864, 474, 428 is 5382599904.

2. How to calculate the LCM of 268, 352, 864, 474, 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 268, 352, 864, 474, 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}.