Given numbers are 730,204,119,337

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

The LCM of 730,204,119,337 is 175651140.

Find LCM of 730,204,119,337 with Prime Factorization

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

2 x 17 x 365 x 6 x 7 x 337 = 175651140

Therefore, the lowest common multiple of 730,204,119,337 is 175651140.

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.

730 x 204 x 119 x 337 = 5972138760

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.

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

119 : 1, 7, 17, 119

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,204,119,337, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

204:2x 2x 3x 17

119:7x 17

337:337

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 5972138760/(1x34)

LCM = 5972138760/34

LCM = 175651140

Thus, we can understand that the LCM of 730,204,119,337 is 175651140.

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

• LCM of 627, 233, 799, 977
• LCM of 649, 532, 676, 311
• LCM of 396, 709, 395, 268
• LCM of 305, 538, 310, 682
• LCM of 153, 886, 433, 636

1. What is the LCM of 730, 204, 119, 337?

Answer: LCM of 730, 204, 119, 337 is 175651140.

2. How to calculate the LCM of 730, 204, 119, 337?

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 730, 204, 119, 337.

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}.