Given numbers are 239,558,488,610,949

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

The LCM of 239,558,488,610,949 is 154403856360.

Find LCM of 239,558,488,610,949 with Prime Factorization

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

2 x 61 x 239 x 279 x 4 x 5 x 949 = 154403856360

Therefore, the lowest common multiple of 239,558,488,610,949 is 154403856360.

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.

239 x 558 x 488 x 610 x 949 = 37674540951840

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.

239 : 1, 239

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

488 : 1, 2, 4, 8, 61, 122, 244, 488

610 : 1, 2, 5, 10, 61, 122, 305, 610

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,558,488,610,949, is 1.

Now, the common factors can be found like this.

239:239

558:2x 3x 3x 31

488:2x 2x 2x 61

610:2x 5x 61

949:13x 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 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 = 37674540951840/(1x244)

LCM = 37674540951840/244

LCM = 154403856360

Thus, we can understand that the LCM of 239,558,488,610,949 is 154403856360.

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

• LCM of 513, 253, 257, 927, 792
• LCM of 779, 825, 417, 376, 200
• LCM of 792, 200, 211, 742, 395
• LCM of 530, 112, 116, 808, 886
• LCM of 737, 271, 332, 170, 546

1. What is the LCM of 239, 558, 488, 610, 949?

Answer: LCM of 239, 558, 488, 610, 949 is 154403856360.

2. How to calculate the LCM of 239, 558, 488, 610, 949?

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 239, 558, 488, 610, 949.

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}.