Given numbers are 361,239,578,304

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

The LCM of 361,239,578,304 is 398954096.

Find LCM of 361,239,578,304 with Prime Factorization

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

2 x 19 x 19 x 239 x 289 x 8 = 398954096

Therefore, the lowest common multiple of 361,239,578,304 is 398954096.

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.

361 x 239 x 578 x 304 = 15160255648

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.

361 : 1, 19, 361

239 : 1, 239

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,239,578,304, is 1.

Now, the common factors can be found like this.

361:19x 19

239:239

578:2x 17x 17

304:2x 2x 2x 2x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 15160255648/(1x38)

LCM = 15160255648/38

LCM = 398954096

Thus, we can understand that the LCM of 361,239,578,304 is 398954096.

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

• LCM of 132, 733, 457, 689
• LCM of 593, 150, 710, 771
• LCM of 578, 891, 152, 168
• LCM of 307, 470, 252, 282
• LCM of 924, 738, 402, 653

1. What is the LCM of 361, 239, 578, 304?

Answer: LCM of 361, 239, 578, 304 is 398954096.

2. How to calculate the LCM of 361, 239, 578, 304?

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 361, 239, 578, 304.

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}.