Given numbers are 517,102,408,201

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

The LCM of 517,102,408,201 is 14132712.

Find LCM of 517,102,408,201 with Prime Factorization

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

2 x 3 x 17 x 517 x 1 x 4 x 67 = 14132712

Therefore, the lowest common multiple of 517,102,408,201 is 14132712.

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.

517 x 102 x 408 x 201 = 4324609872

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.

517 : 1, 11, 47, 517

102 : 1, 2, 3, 6, 17, 34, 51, 102

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,102,408,201, is 1.

Now, the common factors can be found like this.

517:11x 47

102:2x 3x 17

408:2x 2x 2x 3x 17

201:3x 67

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 4324609872/(1x306)

LCM = 4324609872/306

LCM = 14132712

Thus, we can understand that the LCM of 517,102,408,201 is 14132712.

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

• LCM of 930, 707, 278, 757
• LCM of 400, 997, 820, 922
• LCM of 261, 955, 478, 309
• LCM of 871, 564, 400, 281
• LCM of 986, 290, 332, 693

1. What is the LCM of 517, 102, 408, 201?

Answer: LCM of 517, 102, 408, 201 is 14132712.

2. How to calculate the LCM of 517, 102, 408, 201?

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 517, 102, 408, 201.

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}.