Given numbers are 258,860,713,900,526

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

The LCM of 258,860,713,900,526 is 7256985300.

Find LCM of 258,860,713,900,526 with Prime Factorization

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

2 x 2 x 3 x 5 x 43 x 1 x 1 x 713 x 15 x 263 = 7256985300

Therefore, the lowest common multiple of 258,860,713,900,526 is 7256985300.

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 860 x 713 x 900 x 526 = 74892088296000

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

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

713 : 1, 23, 31, 713

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,860,713,900,526, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

860:2x 2x 5x 43

713:23x 31

900:2x 2x 3x 3x 5x 5

526:2x 263

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 3x 5x 43 = 10320

Therefore, the value for common factors is 10320.

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 = 74892088296000/(1x10320)

LCM = 74892088296000/10320

LCM = 7256985300

Thus, we can understand that the LCM of 258,860,713,900,526 is 7256985300.

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

• LCM of 196, 921, 856, 975, 185
• LCM of 852, 970, 629, 785, 101
• LCM of 158, 904, 695, 911, 419
• LCM of 708, 355, 967, 397, 684
• LCM of 334, 574, 971, 308, 802

1. What is the LCM of 258, 860, 713, 900, 526?

Answer: LCM of 258, 860, 713, 900, 526 is 7256985300.

2. How to calculate the LCM of 258, 860, 713, 900, 526?

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, 860, 713, 900, 526.

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}.