Given numbers are 258,828,248,572,338

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

The LCM of 258,828,248,572,338 is 4103645832.

Find LCM of 258,828,248,572,338 with Prime Factorization

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

2 x 2 x 3 x 13 x 43 x 69 x 62 x 11 x 13 = 4103645832

Therefore, the lowest common multiple of 258,828,248,572,338 is 4103645832.

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.

258 x 828 x 248 x 572 x 338 = 10242699996672

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

248 : 1, 2, 4, 8, 31, 62, 124, 248

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,828,248,572,338, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

828:2x 2x 3x 3x 23

248:2x 2x 2x 31

572:2x 2x 11x 13

338:2x 13x 13

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 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 10242699996672/(2x1248)

LCM = 10242699996672/2496

LCM = 4103645832

Thus, we can understand that the LCM of 258,828,248,572,338 is 4103645832.

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

• LCM of 304, 448, 854, 735, 856
• LCM of 526, 305, 871, 397, 854
• LCM of 633, 951, 241, 828, 423
• LCM of 403, 199, 394, 792, 106
• LCM of 801, 670, 152, 209, 118

1. What is the LCM of 258, 828, 248, 572, 338?

Answer: LCM of 258, 828, 248, 572, 338 is 4103645832.

2. How to calculate the LCM of 258, 828, 248, 572, 338?

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 258, 828, 248, 572, 338.

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}.