Given numbers are 402,423,841,390,816

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

The LCM of 402,423,841,390,816 is 421398928080.

Find LCM of 402,423,841,390,816 with Prime Factorization

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

2 x 3 x 67 x 141 x 841 x 65 x 136 = 421398928080

Therefore, the lowest common multiple of 402,423,841,390,816 is 421398928080.

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.

402 x 423 x 841 x 390 x 816 = 45511084232640

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

423 : 1, 3, 9, 47, 141, 423

841 : 1, 29, 841

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,423,841,390,816, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

423:3x 3x 47

841:29x 29

390:2x 3x 5x 13

816:2x 2x 2x 2x 3x 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 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 = 45511084232640/(1x108)

LCM = 45511084232640/108

LCM = 421398928080

Thus, we can understand that the LCM of 402,423,841,390,816 is 421398928080.

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

• LCM of 970, 688, 297, 171, 905
• LCM of 578, 707, 398, 333, 490
• LCM of 461, 356, 419, 459, 518
• LCM of 988, 983, 486, 850, 635
• LCM of 138, 570, 393, 311, 857

1. What is the LCM of 402, 423, 841, 390, 816?

Answer: LCM of 402, 423, 841, 390, 816 is 421398928080.

2. How to calculate the LCM of 402, 423, 841, 390, 816?

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 402, 423, 841, 390, 816.

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}.