Given numbers are 879,381,330,414,424

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

The LCM of 879,381,330,414,424 is 179626427640.

Find LCM of 879,381,330,414,424 with Prime Factorization

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

2 x 3 x 293 x 127 x 55 x 69 x 212 = 179626427640

Therefore, the lowest common multiple of 879,381,330,414,424 is 179626427640.

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.

879 x 381 x 330 x 414 x 424 = 19399654185120

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.

879 : 1, 3, 293, 879

381 : 1, 3, 127, 381

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,381,330,414,424, is 1.

Now, the common factors can be found like this.

879:3x 293

381:3x 127

330:2x 3x 5x 11

414:2x 3x 3x 23

424:2x 2x 2x 53

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 19399654185120/(1x108)

LCM = 19399654185120/108

LCM = 179626427640

Thus, we can understand that the LCM of 879,381,330,414,424 is 179626427640.

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

• LCM of 107, 714, 766, 747, 857
• LCM of 233, 348, 129, 907, 971
• LCM of 736, 243, 549, 527, 900
• LCM of 828, 524, 435, 158, 328
• LCM of 925, 208, 651, 964, 521

1. What is the LCM of 879, 381, 330, 414, 424?

Answer: LCM of 879, 381, 330, 414, 424 is 179626427640.

2. How to calculate the LCM of 879, 381, 330, 414, 424?

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 879, 381, 330, 414, 424.

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}.