Given numbers are 460,413,127,390,319

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

The LCM of 460,413,127,390,319 is 300169729860.

Find LCM of 460,413,127,390,319 with Prime Factorization

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

2 x 5 x 46 x 413 x 127 x 39 x 319 = 300169729860

Therefore, the lowest common multiple of 460,413,127,390,319 is 300169729860.

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.

460 x 413 x 127 x 390 x 319 = 3001697298600

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.

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

413 : 1, 7, 59, 413

127 : 1, 127

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,413,127,390,319, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

413:7x 59

127:127

390:2x 3x 5x 13

319:11x 29

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 = 3001697298600/(1x10)

LCM = 3001697298600/10

LCM = 300169729860

Thus, we can understand that the LCM of 460,413,127,390,319 is 300169729860.

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

• LCM of 430, 569, 334, 584, 769
• LCM of 744, 202, 783, 988, 113
• LCM of 444, 978, 508, 106, 179
• LCM of 469, 181, 686, 862, 166
• LCM of 362, 833, 891, 272, 320

1. What is the LCM of 460, 413, 127, 390, 319?

Answer: LCM of 460, 413, 127, 390, 319 is 300169729860.

2. How to calculate the LCM of 460, 413, 127, 390, 319?

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 460, 413, 127, 390, 319.

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}.