Given numbers are 235,579,123,546,213

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

The LCM of 235,579,123,546,213 is 72087509130.

Find LCM of 235,579,123,546,213 with Prime Factorization

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

3 x 235 x 193 x 41 x 182 x 71 = 72087509130

Therefore, the lowest common multiple of 235,579,123,546,213 is 72087509130.

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.

235 x 579 x 123 x 546 x 213 = 1946362746510

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.

235 : 1, 5, 47, 235

579 : 1, 3, 193, 579

123 : 1, 3, 41, 123

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,579,123,546,213, is 1.

Now, the common factors can be found like this.

235:5x 47

579:3x 193

123:3x 41

546:2x 3x 7x 13

213:3x 71

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 1946362746510/(1x27)

LCM = 1946362746510/27

LCM = 72087509130

Thus, we can understand that the LCM of 235,579,123,546,213 is 72087509130.

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

• LCM of 247, 614, 592, 260, 924
• LCM of 157, 201, 483, 343, 694
• LCM of 903, 708, 103, 974, 910
• LCM of 253, 358, 257, 304, 573
• LCM of 584, 650, 254, 617, 459

1. What is the LCM of 235, 579, 123, 546, 213?

Answer: LCM of 235, 579, 123, 546, 213 is 72087509130.

2. How to calculate the LCM of 235, 579, 123, 546, 213?

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 235, 579, 123, 546, 213.

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}.