Given numbers are 258,117,571,663,624

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

The LCM of 258,117,571,663,624 is 781374672.

Find LCM of 258,117,571,663,624 with Prime Factorization

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

2 x 3 x 13 x 43 x 3 x 571 x 17 x 8 = 781374672

Therefore, the lowest common multiple of 258,117,571,663,624 is 781374672.

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 117 x 571 x 663 x 624 = 7130825256672

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

117 : 1, 3, 9, 13, 39, 117

571 : 1, 571

663 : 1, 3, 13, 17, 39, 51, 221, 663

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,117,571,663,624, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

117:3x 3x 13

571:571

663:3x 13x 17

624:2x 2x 2x 2x 3x 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 3x 3x 3x 13x 13 = 9126

Therefore, the value for common factors is 9126.

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 = 7130825256672/(1x9126)

LCM = 7130825256672/9126

LCM = 781374672

Thus, we can understand that the LCM of 258,117,571,663,624 is 781374672.

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

• LCM of 786, 393, 812, 337, 935
• LCM of 623, 162, 544, 176, 219
• LCM of 426, 786, 364, 937, 492
• LCM of 588, 784, 569, 739, 850
• LCM of 626, 886, 363, 145, 155

1. What is the LCM of 258, 117, 571, 663, 624?

Answer: LCM of 258, 117, 571, 663, 624 is 781374672.

2. How to calculate the LCM of 258, 117, 571, 663, 624?

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, 117, 571, 663, 624.

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}.