Given numbers are 192,141,874,772,726

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

The LCM of 192,141,874,772,726 is 92092275264.

Find LCM of 192,141,874,772,726 with Prime Factorization

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

2 x 2 x 3 x 16 x 47 x 437 x 193 x 121 = 92092275264

Therefore, the lowest common multiple of 192,141,874,772,726 is 92092275264.

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.

192 x 141 x 874 x 772 x 726 = 13261287638016

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

141 : 1, 3, 47, 141

874 : 1, 2, 19, 23, 38, 46, 437, 874

772 : 1, 2, 4, 193, 386, 772

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,141,874,772,726, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

141:3x 47

874:2x 19x 23

772:2x 2x 193

726:2x 3x 11x 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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 13261287638016/(1x144)

LCM = 13261287638016/144

LCM = 92092275264

Thus, we can understand that the LCM of 192,141,874,772,726 is 92092275264.

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

• LCM of 508, 495, 865, 114, 615
• LCM of 185, 666, 181, 476, 316
• LCM of 864, 415, 108, 342, 511
• LCM of 458, 621, 267, 675, 510
• LCM of 284, 395, 979, 404, 588

1. What is the LCM of 192, 141, 874, 772, 726?

Answer: LCM of 192, 141, 874, 772, 726 is 92092275264.

2. How to calculate the LCM of 192, 141, 874, 772, 726?

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 192, 141, 874, 772, 726.

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}.