Given numbers are 251,119,608,306,442

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

The LCM of 251,119,608,306,442 is 2124761184.

Find LCM of 251,119,608,306,442 with Prime Factorization

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

2 x 17 x 251 x 7 x 304 x 9 x 13 = 2124761184

Therefore, the lowest common multiple of 251,119,608,306,442 is 2124761184.

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.

251 x 119 x 608 x 306 x 442 = 2456223928704

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.

251 : 1, 251

119 : 1, 7, 17, 119

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,119,608,306,442, is 1.

Now, the common factors can be found like this.

251:251

119:7x 17

608:2x 2x 2x 2x 2x 19

306:2x 3x 3x 17

442:2x 13x 17

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 2456223928704/(1x1156)

LCM = 2456223928704/1156

LCM = 2124761184

Thus, we can understand that the LCM of 251,119,608,306,442 is 2124761184.

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

• LCM of 612, 688, 905, 434, 413
• LCM of 311, 760, 392, 818, 757
• LCM of 334, 298, 335, 529, 185
• LCM of 671, 477, 141, 395, 292
• LCM of 659, 208, 700, 400, 809

1. What is the LCM of 251, 119, 608, 306, 442?

Answer: LCM of 251, 119, 608, 306, 442 is 2124761184.

2. How to calculate the LCM of 251, 119, 608, 306, 442?

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 251, 119, 608, 306, 442.

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}.