Given numbers are 570,849,429,110,420

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

The LCM of 570,849,429,110,420 is 322942620.

Find LCM of 570,849,429,110,420 with Prime Factorization

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

2 x 3 x 5 x 11 x 19 x 283 x 13 x 1 x 14 = 322942620

Therefore, the lowest common multiple of 570,849,429,110,420 is 322942620.

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.

570 x 849 x 429 x 110 x 420 = 9591395814000

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

849 : 1, 3, 283, 849

429 : 1, 3, 11, 13, 33, 39, 143, 429

110 : 1, 2, 5, 10, 11, 22, 55, 110

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,849,429,110,420, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

849:3x 283

429:3x 11x 13

110:2x 5x 11

420:2x 2x 3x 5x 7

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 3x 3x 3x 5x 5x 11 = 29700

Therefore, the value for common factors is 29700.

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 = 9591395814000/(1x29700)

LCM = 9591395814000/29700

LCM = 322942620

Thus, we can understand that the LCM of 570,849,429,110,420 is 322942620.

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

• LCM of 139, 148, 353, 347, 914
• LCM of 638, 790, 573, 934, 359
• LCM of 979, 614, 919, 817, 764
• LCM of 223, 215, 428, 433, 891
• LCM of 552, 317, 349, 456, 265

1. What is the LCM of 570, 849, 429, 110, 420?

Answer: LCM of 570, 849, 429, 110, 420 is 322942620.

2. How to calculate the LCM of 570, 849, 429, 110, 420?

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 570, 849, 429, 110, 420.

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}.