Given numbers are 217,443,341,435,558

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

The LCM of 217,443,341,435,558 is 2759921010.

Find LCM of 217,443,341,435,558 with Prime Factorization

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

3 x 31 x 7 x 443 x 11 x 145 x 6 = 2759921010

Therefore, the lowest common multiple of 217,443,341,435,558 is 2759921010.

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.

217 x 443 x 341 x 435 x 558 = 7956852271830

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.

217 : 1, 7, 31, 217

443 : 1, 443

341 : 1, 11, 31, 341

435 : 1, 3, 5, 15, 29, 87, 145, 435

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,443,341,435,558, is 1.

Now, the common factors can be found like this.

217:7x 31

443:443

341:11x 31

435:3x 5x 29

558:2x 3x 3x 31

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

3x 31x 31 = 2883

Therefore, the value for common factors is 2883.

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 = 7956852271830/(1x2883)

LCM = 7956852271830/2883

LCM = 2759921010

Thus, we can understand that the LCM of 217,443,341,435,558 is 2759921010.

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

• LCM of 426, 382, 172, 885, 294
• LCM of 174, 828, 691, 133, 328
• LCM of 569, 572, 974, 352, 235
• LCM of 379, 735, 898, 341, 599
• LCM of 963, 932, 452, 111, 346

1. What is the LCM of 217, 443, 341, 435, 558?

Answer: LCM of 217, 443, 341, 435, 558 is 2759921010.

2. How to calculate the LCM of 217, 443, 341, 435, 558?

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 217, 443, 341, 435, 558.

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}.