Given numbers are 308,584,520,167,730

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

The LCM of 308,584,520,167,730 is 488127640.

Find LCM of 308,584,520,167,730 with Prime Factorization

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

2 x 2 x 2 x 5 x 73 x 77 x 1 x 13 x 167 x 1 = 488127640

Therefore, the lowest common multiple of 308,584,520,167,730 is 488127640.

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.

308 x 584 x 520 x 167 x 730 = 11402661670400

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

584 : 1, 2, 4, 8, 73, 146, 292, 584

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

167 : 1, 167

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,584,520,167,730, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

584:2x 2x 2x 73

520:2x 2x 2x 5x 13

167:167

730:2x 5x 73

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 2x 2x 2x 2x 5x 73 = 23360

Therefore, the value for common factors is 23360.

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 = 11402661670400/(1x23360)

LCM = 11402661670400/23360

LCM = 488127640

Thus, we can understand that the LCM of 308,584,520,167,730 is 488127640.

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

• LCM of 676, 232, 958, 829, 348
• LCM of 213, 688, 168, 131, 761
• LCM of 692, 563, 827, 515, 108
• LCM of 178, 836, 659, 543, 447
• LCM of 700, 609, 142, 334, 942

1. What is the LCM of 308, 584, 520, 167, 730?

Answer: LCM of 308, 584, 520, 167, 730 is 488127640.

2. How to calculate the LCM of 308, 584, 520, 167, 730?

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 308, 584, 520, 167, 730.

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}.