Given numbers are 307,107,350,214,487

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

The LCM of 307,107,350,214,487 is 5599112050.

Find LCM of 307,107,350,214,487 with Prime Factorization

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

2 x 107 x 307 x 1 x 175 x 1 x 487 = 5599112050

Therefore, the lowest common multiple of 307,107,350,214,487 is 5599112050.

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.

307 x 107 x 350 x 214 x 487 = 1198209978700

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.

307 : 1, 307

107 : 1, 107

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

214 : 1, 2, 107, 214

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,107,350,214,487, is 1.

Now, the common factors can be found like this.

307:307

107:107

350:2x 5x 5x 7

214:2x 107

487:487

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 1198209978700/(1x214)

LCM = 1198209978700/214

LCM = 5599112050

Thus, we can understand that the LCM of 307,107,350,214,487 is 5599112050.

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

• LCM of 539, 762, 973, 836, 251
• LCM of 592, 847, 477, 503, 143
• LCM of 729, 945, 815, 681, 732
• LCM of 198, 717, 188, 242, 677
• LCM of 518, 352, 723, 664, 311

1. What is the LCM of 307, 107, 350, 214, 487?

Answer: LCM of 307, 107, 350, 214, 487 is 5599112050.

2. How to calculate the LCM of 307, 107, 350, 214, 487?

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 307, 107, 350, 214, 487.

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}.