Given numbers are 480,514,558,963,201

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

The LCM of 480,514,558,963,201 is 82246209120.

Find LCM of 480,514,558,963,201 with Prime Factorization

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

2 x 3 x 3 x 80 x 257 x 31 x 107 x 67 = 82246209120

Therefore, the lowest common multiple of 480,514,558,963,201 is 82246209120.

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.

480 x 514 x 558 x 963 x 201 = 26647771754880

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

514 : 1, 2, 257, 514

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

963 : 1, 3, 9, 107, 321, 963

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,514,558,963,201, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

514:2x 257

558:2x 3x 3x 31

963:3x 3x 107

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 2x 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 26647771754880/(1x324)

LCM = 26647771754880/324

LCM = 82246209120

Thus, we can understand that the LCM of 480,514,558,963,201 is 82246209120.

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

• LCM of 772, 942, 271, 637, 322
• LCM of 711, 725, 355, 352, 230
• LCM of 971, 620, 251, 852, 768
• LCM of 179, 379, 612, 912, 967
• LCM of 963, 637, 128, 840, 686

1. What is the LCM of 480, 514, 558, 963, 201?

Answer: LCM of 480, 514, 558, 963, 201 is 82246209120.

2. How to calculate the LCM of 480, 514, 558, 963, 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 480, 514, 558, 963, 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}.