Given numbers are 138,186,717,882,264

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

The LCM of 138,186,717,882,264 is 6613154856.

Find LCM of 138,186,717,882,264 with Prime Factorization

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

2 x 3 x 23 x 31 x 239 x 147 x 44 = 6613154856

Therefore, the lowest common multiple of 138,186,717,882,264 is 6613154856.

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.

138 x 186 x 717 x 882 x 264 = 4285324346688

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.

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

186 : 1, 2, 3, 6, 31, 62, 93, 186

717 : 1, 3, 239, 717

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,186,717,882,264, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

186:2x 3x 31

717:3x 239

882:2x 3x 3x 7x 7

264:2x 2x 2x 3x 11

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 4285324346688/(3x216)

LCM = 4285324346688/648

LCM = 6613154856

Thus, we can understand that the LCM of 138,186,717,882,264 is 6613154856.

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

• LCM of 739, 280, 933, 956, 122
• LCM of 966, 409, 384, 243, 501
• LCM of 450, 755, 878, 508, 448
• LCM of 478, 455, 278, 132, 186
• LCM of 994, 201, 502, 931, 657

1. What is the LCM of 138, 186, 717, 882, 264?

Answer: LCM of 138, 186, 717, 882, 264 is 6613154856.

2. How to calculate the LCM of 138, 186, 717, 882, 264?

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 138, 186, 717, 882, 264.

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}.