Given numbers are 521,480,102,420,411

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

The LCM of 521,480,102,420,411 is 4077054240.

Find LCM of 521,480,102,420,411 with Prime Factorization

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

2 x 2 x 3 x 5 x 521 x 8 x 17 x 7 x 137 = 4077054240

Therefore, the lowest common multiple of 521,480,102,420,411 is 4077054240.

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.

521 x 480 x 102 x 420 x 411 = 4403218579200

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.

521 : 1, 521

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

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,480,102,420,411, is 1.

Now, the common factors can be found like this.

521:521

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

102:2x 3x 17

420:2x 2x 3x 5x 7

411:3x 137

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 4403218579200/(1x1080)

LCM = 4403218579200/1080

LCM = 4077054240

Thus, we can understand that the LCM of 521,480,102,420,411 is 4077054240.

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

• LCM of 576, 874, 997, 422, 858
• LCM of 201, 166, 327, 971, 820
• LCM of 443, 665, 838, 197, 129
• LCM of 865, 414, 187, 804, 130
• LCM of 509, 959, 229, 123, 678

1. What is the LCM of 521, 480, 102, 420, 411?

Answer: LCM of 521, 480, 102, 420, 411 is 4077054240.

2. How to calculate the LCM of 521, 480, 102, 420, 411?

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 521, 480, 102, 420, 411.

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}.