Given numbers are 586,776,216,189,138

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

The LCM of 586,776,216,189,138 is 988368696.

Find LCM of 586,776,216,189,138 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 293 x 97 x 1 x 7 x 23 = 988368696

Therefore, the lowest common multiple of 586,776,216,189,138 is 988368696.

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.

586 x 776 x 216 x 189 x 138 = 2561851660032

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.

586 : 1, 2, 293, 586

776 : 1, 2, 4, 8, 97, 194, 388, 776

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

189 : 1, 3, 7, 9, 21, 27, 63, 189

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,776,216,189,138, is 1.

Now, the common factors can be found like this.

586:2x 293

776:2x 2x 2x 97

216:2x 2x 2x 3x 3x 3

189:3x 3x 3x 7

138:2x 3x 23

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 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 2561851660032/(1x2592)

LCM = 2561851660032/2592

LCM = 988368696

Thus, we can understand that the LCM of 586,776,216,189,138 is 988368696.

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

• LCM of 276, 590, 847, 967, 264
• LCM of 356, 917, 423, 266, 118
• LCM of 711, 299, 612, 621, 252
• LCM of 367, 705, 493, 417, 308
• LCM of 501, 753, 611, 388, 469

1. What is the LCM of 586, 776, 216, 189, 138?

Answer: LCM of 586, 776, 216, 189, 138 is 988368696.

2. How to calculate the LCM of 586, 776, 216, 189, 138?

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 586, 776, 216, 189, 138.

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}.