Given numbers are 469,424,391,374,816

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

The LCM of 469,424,391,374,816 is 5131677936.

Find LCM of 469,424,391,374,816 with Prime Factorization

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

2 x 2 x 2 x 17 x 469 x 53 x 23 x 11 x 6 = 5131677936

Therefore, the lowest common multiple of 469,424,391,374,816 is 5131677936.

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.

469 x 424 x 391 x 374 x 816 = 23728878776064

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.

469 : 1, 7, 67, 469

424 : 1, 2, 4, 8, 53, 106, 212, 424

391 : 1, 17, 23, 391

374 : 1, 2, 11, 17, 22, 34, 187, 374

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 469,424,391,374,816, is 1.

Now, the common factors can be found like this.

469:7x 67

424:2x 2x 2x 53

391:17x 23

374:2x 11x 17

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 2x 2x 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 23728878776064/(1x4624)

LCM = 23728878776064/4624

LCM = 5131677936

Thus, we can understand that the LCM of 469,424,391,374,816 is 5131677936.

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

• LCM of 903, 958, 684, 627, 550
• LCM of 184, 280, 175, 759, 578
• LCM of 249, 173, 907, 529, 517
• LCM of 401, 430, 144, 388, 926
• LCM of 198, 164, 168, 851, 522

1. What is the LCM of 469, 424, 391, 374, 816?

Answer: LCM of 469, 424, 391, 374, 816 is 5131677936.

2. How to calculate the LCM of 469, 424, 391, 374, 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 469, 424, 391, 374, 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}.