Given numbers are 489,376,506,349

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

The LCM of 489,376,506,349 is 16234639608.

Find LCM of 489,376,506,349 with Prime Factorization

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

2 x 489 x 188 x 253 x 349 = 16234639608

Therefore, the lowest common multiple of 489,376,506,349 is 16234639608.

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.

489 x 376 x 506 x 349 = 32469279216

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.

489 : 1, 3, 163, 489

376 : 1, 2, 4, 8, 47, 94, 188, 376

506 : 1, 2, 11, 22, 23, 46, 253, 506

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,376,506,349, is 1.

Now, the common factors can be found like this.

489:3x 163

376:2x 2x 2x 47

506:2x 11x 23

349:349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 32469279216/(1x2)

LCM = 32469279216/2

LCM = 16234639608

Thus, we can understand that the LCM of 489,376,506,349 is 16234639608.

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

• LCM of 593, 502, 708, 858
• LCM of 741, 468, 139, 743
• LCM of 123, 450, 404, 363
• LCM of 613, 549, 692, 725
• LCM of 224, 890, 892, 687

1. What is the LCM of 489, 376, 506, 349?

Answer: LCM of 489, 376, 506, 349 is 16234639608.

2. How to calculate the LCM of 489, 376, 506, 349?

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 489, 376, 506, 349.

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}.