Given numbers are 468,638,676,598,335

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

The LCM of 468,638,676,598,335 is 14953833180.

Find LCM of 468,638,676,598,335 with Prime Factorization

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

2 x 2 x 13 x 9 x 319 x 13 x 23 x 335 = 14953833180

Therefore, the lowest common multiple of 468,638,676,598,335 is 14953833180.

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 638 x 676 x 598 x 335 = 40435164918720

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

598 : 1, 2, 13, 23, 26, 46, 299, 598

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,638,676,598,335, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

638:2x 11x 29

676:2x 2x 13x 13

598:2x 13x 23

335:5x 67

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 40435164918720/(1x2704)

LCM = 40435164918720/2704

LCM = 14953833180

Thus, we can understand that the LCM of 468,638,676,598,335 is 14953833180.

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

• LCM of 748, 458, 977, 167, 657
• LCM of 503, 660, 910, 361, 542
• LCM of 992, 319, 810, 727, 873
• LCM of 484, 740, 125, 596, 711
• LCM of 257, 896, 370, 404, 871

1. What is the LCM of 468, 638, 676, 598, 335?

Answer: LCM of 468, 638, 676, 598, 335 is 14953833180.

2. How to calculate the LCM of 468, 638, 676, 598, 335?

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, 638, 676, 598, 335.

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}.