Given numbers are 281,584,730,874

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

The LCM of 281,584,730,874 is 358567240.

Find LCM of 281,584,730,874 with Prime Factorization

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

2 x 73 x 281 x 4 x 5 x 437 = 358567240

Therefore, the lowest common multiple of 281,584,730,874 is 358567240.

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.

281 x 584 x 730 x 874 = 104701634080

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.

281 : 1, 281

584 : 1, 2, 4, 8, 73, 146, 292, 584

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,584,730,874, is 1.

Now, the common factors can be found like this.

281:281

584:2x 2x 2x 73

730:2x 5x 73

874:2x 19x 23

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 73 = 292

Therefore, the value for common factors is 292.

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 = 104701634080/(1x292)

LCM = 104701634080/292

LCM = 358567240

Thus, we can understand that the LCM of 281,584,730,874 is 358567240.

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

• LCM of 885, 327, 896, 566
• LCM of 544, 574, 198, 267
• LCM of 558, 915, 300, 361
• LCM of 450, 484, 700, 413
• LCM of 152, 281, 894, 381

1. What is the LCM of 281, 584, 730, 874?

Answer: LCM of 281, 584, 730, 874 is 358567240.

2. How to calculate the LCM of 281, 584, 730, 874?

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 281, 584, 730, 874.

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}.