Given numbers are 730,269,584,391

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

The LCM of 730,269,584,391 is 307122680.

Find LCM of 730,269,584,391 with Prime Factorization

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

2 x 73 x 5 x 269 x 4 x 391 = 307122680

Therefore, the lowest common multiple of 730,269,584,391 is 307122680.

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 269 x 584 x 391 = 44839911280

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

269 : 1, 269

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

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,269,584,391, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

269:269

584:2x 2x 2x 73

391:17x 23

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 44839911280/(1x146)

LCM = 44839911280/146

LCM = 307122680

Thus, we can understand that the LCM of 730,269,584,391 is 307122680.

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

• LCM of 892, 908, 127, 764
• LCM of 181, 430, 787, 643
• LCM of 187, 103, 449, 347
• LCM of 581, 191, 175, 353
• LCM of 255, 393, 270, 812

1. What is the LCM of 730, 269, 584, 391?

Answer: LCM of 730, 269, 584, 391 is 307122680.

2. How to calculate the LCM of 730, 269, 584, 391?

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, 269, 584, 391.

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}.