Given numbers are 430,708,311,442,201

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

The LCM of 430,708,311,442,201 is 700969598940.

Find LCM of 430,708,311,442,201 with Prime Factorization

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

2 x 3 x 215 x 118 x 311 x 221 x 67 = 700969598940

Therefore, the lowest common multiple of 430,708,311,442,201 is 700969598940.

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.

430 x 708 x 311 x 442 x 201 = 8411635187280

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

311 : 1, 311

442 : 1, 2, 13, 17, 26, 34, 221, 442

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,708,311,442,201, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

708:2x 2x 3x 59

311:311

442:2x 13x 17

201:3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8411635187280/(1x12)

LCM = 8411635187280/12

LCM = 700969598940

Thus, we can understand that the LCM of 430,708,311,442,201 is 700969598940.

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

• LCM of 678, 606, 857, 506, 574
• LCM of 143, 429, 879, 850, 946
• LCM of 258, 507, 610, 812, 474
• LCM of 174, 227, 955, 455, 992
• LCM of 707, 317, 670, 190, 789

1. What is the LCM of 430, 708, 311, 442, 201?

Answer: LCM of 430, 708, 311, 442, 201 is 700969598940.

2. How to calculate the LCM of 430, 708, 311, 442, 201?

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 430, 708, 311, 442, 201.

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}.