Given numbers are 382,254,259,814

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

The LCM of 382,254,259,814 is 138216386.

Find LCM of 382,254,259,814 with Prime Factorization

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

2 x 37 x 191 x 127 x 7 x 11 = 138216386

Therefore, the lowest common multiple of 382,254,259,814 is 138216386.

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.

382 x 254 x 259 x 814 = 20456025128

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.

382 : 1, 2, 191, 382

254 : 1, 2, 127, 254

259 : 1, 7, 37, 259

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,254,259,814, is 1.

Now, the common factors can be found like this.

382:2x 191

254:2x 127

259:7x 37

814:2x 11x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 20456025128/(1x148)

LCM = 20456025128/148

LCM = 138216386

Thus, we can understand that the LCM of 382,254,259,814 is 138216386.

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

• LCM of 174, 594, 700, 866
• LCM of 989, 711, 464, 709
• LCM of 697, 696, 920, 978
• LCM of 677, 872, 752, 560
• LCM of 274, 837, 724, 295

1. What is the LCM of 382, 254, 259, 814?

Answer: LCM of 382, 254, 259, 814 is 138216386.

2. How to calculate the LCM of 382, 254, 259, 814?

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 382, 254, 259, 814.

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}.