Given numbers are 868,138,828,886,408

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

The LCM of 868,138,828,886,408 is 2706279912.

Find LCM of 868,138,828,886,408 with Prime Factorization

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

2 x 2 x 3 x 23 x 217 x 1 x 3 x 443 x 34 = 2706279912

Therefore, the lowest common multiple of 868,138,828,886,408 is 2706279912.

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.

868 x 138 x 828 x 886 x 408 = 35852796274176

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

886 : 1, 2, 443, 886

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,138,828,886,408, is 2.

Now, the common factors can be found like this.

868:2x 2x 7x 31

138:2x 3x 23

828:2x 2x 3x 3x 23

886:2x 443

408:2x 2x 2x 3x 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 2x 2x 2x 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 35852796274176/(2x6624)

LCM = 35852796274176/13248

LCM = 2706279912

Thus, we can understand that the LCM of 868,138,828,886,408 is 2706279912.

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

• LCM of 698, 343, 587, 734, 890
• LCM of 241, 953, 641, 978, 121
• LCM of 962, 626, 346, 144, 949
• LCM of 731, 953, 925, 313, 322
• LCM of 160, 816, 355, 409, 380

1. What is the LCM of 868, 138, 828, 886, 408?

Answer: LCM of 868, 138, 828, 886, 408 is 2706279912.

2. How to calculate the LCM of 868, 138, 828, 886, 408?

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 868, 138, 828, 886, 408.

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}.