Given numbers are 370,319,109,381,460

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

The LCM of 370,319,109,381,460 is 225476722020.

Find LCM of 370,319,109,381,460 with Prime Factorization

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

2 x 5 x 37 x 319 x 109 x 381 x 46 = 225476722020

Therefore, the lowest common multiple of 370,319,109,381,460 is 225476722020.

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.

370 x 319 x 109 x 381 x 460 = 2254767220200

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

319 : 1, 11, 29, 319

109 : 1, 109

381 : 1, 3, 127, 381

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,319,109,381,460, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

319:11x 29

109:109

381:3x 127

460:2x 2x 5x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 2254767220200/(1x10)

LCM = 2254767220200/10

LCM = 225476722020

Thus, we can understand that the LCM of 370,319,109,381,460 is 225476722020.

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

• LCM of 873, 548, 741, 673, 108
• LCM of 822, 722, 513, 302, 926
• LCM of 750, 267, 452, 573, 355
• LCM of 807, 839, 716, 389, 395
• LCM of 209, 298, 547, 514, 503

1. What is the LCM of 370, 319, 109, 381, 460?

Answer: LCM of 370, 319, 109, 381, 460 is 225476722020.

2. How to calculate the LCM of 370, 319, 109, 381, 460?

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 370, 319, 109, 381, 460.

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}.