Given numbers are 508,368,497,948,412

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

The LCM of 508,368,497,948,412 is 567013630512.

Find LCM of 508,368,497,948,412 with Prime Factorization

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

2 x 2 x 127 x 92 x 497 x 237 x 103 = 567013630512

Therefore, the lowest common multiple of 508,368,497,948,412 is 567013630512.

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.

508 x 368 x 497 x 948 x 412 = 36288872352768

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.

508 : 1, 2, 4, 127, 254, 508

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

497 : 1, 7, 71, 497

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,368,497,948,412, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

368:2x 2x 2x 2x 23

497:7x 71

948:2x 2x 3x 79

412:2x 2x 103

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 36288872352768/(1x64)

LCM = 36288872352768/64

LCM = 567013630512

Thus, we can understand that the LCM of 508,368,497,948,412 is 567013630512.

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

• LCM of 935, 703, 294, 741, 167
• LCM of 899, 834, 879, 986, 279
• LCM of 706, 112, 231, 886, 131
• LCM of 758, 112, 795, 126, 473
• LCM of 996, 893, 882, 597, 549

1. What is the LCM of 508, 368, 497, 948, 412?

Answer: LCM of 508, 368, 497, 948, 412 is 567013630512.

2. How to calculate the LCM of 508, 368, 497, 948, 412?

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 508, 368, 497, 948, 412.

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}.