Given numbers are 390,829,696,414,321

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

The LCM of 390,829,696,414,321 is 276891736680.

Find LCM of 390,829,696,414,321 with Prime Factorization

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

2 x 3 x 65 x 829 x 116 x 69 x 107 = 276891736680

Therefore, the lowest common multiple of 390,829,696,414,321 is 276891736680.

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.

390 x 829 x 696 x 414 x 321 = 29904307561440

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.

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

829 : 1, 829

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,829,696,414,321, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

829:829

696:2x 2x 2x 3x 29

414:2x 3x 3x 23

321:3x 107

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 = 29904307561440/(1x108)

LCM = 29904307561440/108

LCM = 276891736680

Thus, we can understand that the LCM of 390,829,696,414,321 is 276891736680.

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

• LCM of 318, 689, 840, 189, 292
• LCM of 506, 632, 648, 678, 828
• LCM of 242, 476, 851, 942, 569
• LCM of 378, 802, 608, 474, 827
• LCM of 866, 359, 716, 500, 483

1. What is the LCM of 390, 829, 696, 414, 321?

Answer: LCM of 390, 829, 696, 414, 321 is 276891736680.

2. How to calculate the LCM of 390, 829, 696, 414, 321?

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 390, 829, 696, 414, 321.

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}.