Given numbers are 142,138,361,218

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

The LCM of 142,138,361,218 is 385541502.

Find LCM of 142,138,361,218 with Prime Factorization

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

2 x 71 x 69 x 361 x 109 = 385541502

Therefore, the lowest common multiple of 142,138,361,218 is 385541502.

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.

142 x 138 x 361 x 218 = 1542166008

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.

142 : 1, 2, 71, 142

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

361 : 1, 19, 361

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,138,361,218, is 1.

Now, the common factors can be found like this.

142:2x 71

138:2x 3x 23

361:19x 19

218:2x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1542166008/(1x4)

LCM = 1542166008/4

LCM = 385541502

Thus, we can understand that the LCM of 142,138,361,218 is 385541502.

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

• LCM of 749, 404, 869, 834
• LCM of 274, 758, 729, 949
• LCM of 240, 647, 607, 393
• LCM of 804, 478, 332, 214
• LCM of 396, 868, 514, 477

1. What is the LCM of 142, 138, 361, 218?

Answer: LCM of 142, 138, 361, 218 is 385541502.

2. How to calculate the LCM of 142, 138, 361, 218?

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 142, 138, 361, 218.

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}.