Given numbers are 268,403,471,860,304

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

The LCM of 268,403,471,860,304 is 831213904560.

Find LCM of 268,403,471,860,304 with Prime Factorization

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

2 x 2 x 67 x 403 x 471 x 215 x 76 = 831213904560

Therefore, the lowest common multiple of 268,403,471,860,304 is 831213904560.

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 403 x 471 x 860 x 304 = 13299422472960

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

403 : 1, 13, 31, 403

471 : 1, 3, 157, 471

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,403,471,860,304, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

403:13x 31

471:3x 157

860:2x 2x 5x 43

304:2x 2x 2x 2x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 13299422472960/(1x16)

LCM = 13299422472960/16

LCM = 831213904560

Thus, we can understand that the LCM of 268,403,471,860,304 is 831213904560.

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

• LCM of 126, 356, 830, 173, 898
• LCM of 701, 581, 838, 808, 996
• LCM of 493, 915, 212, 442, 982
• LCM of 667, 412, 631, 573, 926
• LCM of 386, 474, 622, 377, 901

1. What is the LCM of 268, 403, 471, 860, 304?

Answer: LCM of 268, 403, 471, 860, 304 is 831213904560.

2. How to calculate the LCM of 268, 403, 471, 860, 304?

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, 403, 471, 860, 304.

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}.