Given numbers are 381,489,438,435

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

The LCM of 381,489,438,435 is 1314720510.

Find LCM of 381,489,438,435 with Prime Factorization

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

3 x 127 x 163 x 146 x 145 = 1314720510

Therefore, the lowest common multiple of 381,489,438,435 is 1314720510.

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.

381 x 489 x 438 x 435 = 35497453770

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.

381 : 1, 3, 127, 381

489 : 1, 3, 163, 489

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,489,438,435, is 3.

Now, the common factors can be found like this.

381:3x 127

489:3x 163

438:2x 3x 73

435:3x 5x 29

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 35497453770/(3x9)

LCM = 35497453770/27

LCM = 1314720510

Thus, we can understand that the LCM of 381,489,438,435 is 1314720510.

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

• LCM of 183, 366, 532, 100
• LCM of 412, 218, 321, 803
• LCM of 889, 452, 874, 848
• LCM of 599, 408, 418, 473
• LCM of 839, 651, 297, 348

1. What is the LCM of 381, 489, 438, 435?

Answer: LCM of 381, 489, 438, 435 is 1314720510.

2. How to calculate the LCM of 381, 489, 438, 435?

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 381, 489, 438, 435.

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}.