Given numbers are 216,646,260,349

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

The LCM of 216,646,260,349 is 1582687080.

Find LCM of 216,646,260,349 with Prime Factorization

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

2 x 2 x 54 x 323 x 65 x 349 = 1582687080

Therefore, the lowest common multiple of 216,646,260,349 is 1582687080.

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.

216 x 646 x 260 x 349 = 12661496640

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

646 : 1, 2, 17, 19, 34, 38, 323, 646

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,646,260,349, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

646:2x 17x 19

260:2x 2x 5x 13

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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 12661496640/(1x8)

LCM = 12661496640/8

LCM = 1582687080

Thus, we can understand that the LCM of 216,646,260,349 is 1582687080.

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

• LCM of 315, 724, 663, 394
• LCM of 539, 605, 236, 561
• LCM of 645, 638, 726, 956
• LCM of 544, 145, 770, 755
• LCM of 720, 202, 123, 688

1. What is the LCM of 216, 646, 260, 349?

Answer: LCM of 216, 646, 260, 349 is 1582687080.

2. How to calculate the LCM of 216, 646, 260, 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 216, 646, 260, 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}.