Given numbers are 324,668,478,136,714

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

The LCM of 324,668,478,136,714 is 3077771256.

Find LCM of 324,668,478,136,714 with Prime Factorization

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

2 x 2 x 3 x 17 x 27 x 167 x 239 x 2 x 7 = 3077771256

Therefore, the lowest common multiple of 324,668,478,136,714 is 3077771256.

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.

324 x 668 x 478 x 136 x 714 = 10045845379584

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

668 : 1, 2, 4, 167, 334, 668

478 : 1, 2, 239, 478

136 : 1, 2, 4, 8, 17, 34, 68, 136

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,668,478,136,714, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

668:2x 2x 167

478:2x 239

136:2x 2x 2x 17

714:2x 3x 7x 17

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 2x 2x 2x 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 10045845379584/(2x1632)

LCM = 10045845379584/3264

LCM = 3077771256

Thus, we can understand that the LCM of 324,668,478,136,714 is 3077771256.

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

• LCM of 107, 183, 899, 765, 187
• LCM of 856, 175, 867, 684, 203
• LCM of 124, 791, 387, 500, 164
• LCM of 670, 400, 948, 126, 752
• LCM of 552, 646, 635, 853, 162

1. What is the LCM of 324, 668, 478, 136, 714?

Answer: LCM of 324, 668, 478, 136, 714 is 3077771256.

2. How to calculate the LCM of 324, 668, 478, 136, 714?

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 324, 668, 478, 136, 714.

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}.