Given numbers are 244,305,438,578

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

The LCM of 244,305,438,578 is 77215020.

Find LCM of 244,305,438,578 with Prime Factorization

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

2 x 61 x 2 x 5 x 219 x 289 = 77215020

Therefore, the lowest common multiple of 244,305,438,578 is 77215020.

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.

244 x 305 x 438 x 578 = 18840464880

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.

244 : 1, 2, 4, 61, 122, 244

305 : 1, 5, 61, 305

438 : 1, 2, 3, 6, 73, 146, 219, 438

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,305,438,578, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

305:5x 61

438:2x 3x 73

578:2x 17x 17

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 61 = 244

Therefore, the value for common factors is 244.

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 = 18840464880/(1x244)

LCM = 18840464880/244

LCM = 77215020

Thus, we can understand that the LCM of 244,305,438,578 is 77215020.

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

• LCM of 259, 421, 795, 458
• LCM of 323, 893, 736, 726
• LCM of 428, 213, 553, 826
• LCM of 946, 586, 567, 549
• LCM of 710, 882, 483, 741

1. What is the LCM of 244, 305, 438, 578?

Answer: LCM of 244, 305, 438, 578 is 77215020.

2. How to calculate the LCM of 244, 305, 438, 578?

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 244, 305, 438, 578.

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}.