Given numbers are 435,598,302,474,381

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

The LCM of 435,598,302,474,381 is 394092527790.

Find LCM of 435,598,302,474,381 with Prime Factorization

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

2 x 3 x 145 x 299 x 151 x 79 x 127 = 394092527790

Therefore, the lowest common multiple of 435,598,302,474,381 is 394092527790.

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.

435 x 598 x 302 x 474 x 381 = 14187331000440

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

598 : 1, 2, 13, 23, 26, 46, 299, 598

302 : 1, 2, 151, 302

474 : 1, 2, 3, 6, 79, 158, 237, 474

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,598,302,474,381, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

598:2x 13x 23

302:2x 151

474:2x 3x 79

381:3x 127

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 14187331000440/(1x36)

LCM = 14187331000440/36

LCM = 394092527790

Thus, we can understand that the LCM of 435,598,302,474,381 is 394092527790.

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

• LCM of 339, 120, 311, 617, 703
• LCM of 116, 432, 112, 227, 295
• LCM of 132, 702, 460, 216, 149
• LCM of 323, 170, 130, 144, 710
• LCM of 369, 884, 401, 114, 243

1. What is the LCM of 435, 598, 302, 474, 381?

Answer: LCM of 435, 598, 302, 474, 381 is 394092527790.

2. How to calculate the LCM of 435, 598, 302, 474, 381?

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 435, 598, 302, 474, 381.

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}.