Given numbers are 468,319,273,286,928

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

The LCM of 468,319,273,286,928 is 8360352.

Find LCM of 468,319,273,286,928 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 29 x 3 x 1 x 7 x 1 x 8 = 8360352

Therefore, the lowest common multiple of 468,319,273,286,928 is 8360352.

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.

468 x 319 x 273 x 286 x 928 = 10817158480128

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

319 : 1, 11, 29, 319

273 : 1, 3, 7, 13, 21, 39, 91, 273

286 : 1, 2, 11, 13, 22, 26, 143, 286

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,319,273,286,928, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

319:11x 29

273:3x 7x 13

286:2x 11x 13

928:2x 2x 2x 2x 2x 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 2x 2x 3x 11x 13x 13x 29 = 1293864

Therefore, the value for common factors is 1293864.

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 = 10817158480128/(1x1293864)

LCM = 10817158480128/1293864

LCM = 8360352

Thus, we can understand that the LCM of 468,319,273,286,928 is 8360352.

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

• LCM of 526, 592, 476, 484, 654
• LCM of 632, 109, 553, 587, 985
• LCM of 341, 778, 606, 162, 784
• LCM of 310, 463, 169, 414, 367
• LCM of 706, 613, 342, 273, 688

1. What is the LCM of 468, 319, 273, 286, 928?

Answer: LCM of 468, 319, 273, 286, 928 is 8360352.

2. How to calculate the LCM of 468, 319, 273, 286, 928?

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 468, 319, 273, 286, 928.

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}.