Given numbers are 480,334,658,415

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

The LCM of 480,334,658,415 is 2188929120.

Find LCM of 480,334,658,415 with Prime Factorization

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

2 x 5 x 48 x 167 x 329 x 83 = 2188929120

Therefore, the lowest common multiple of 480,334,658,415 is 2188929120.

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 334 x 658 x 415 = 43778582400

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

334 : 1, 2, 167, 334

658 : 1, 2, 7, 14, 47, 94, 329, 658

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,334,658,415, is 1.

Now, the common factors can be found like this.

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

334:2x 167

658:2x 7x 47

415:5x 83

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 5 = 20

Therefore, the value for common factors is 20.

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 = 43778582400/(1x20)

LCM = 43778582400/20

LCM = 2188929120

Thus, we can understand that the LCM of 480,334,658,415 is 2188929120.

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

• LCM of 271, 906, 964, 103
• LCM of 878, 439, 182, 500
• LCM of 941, 105, 734, 390
• LCM of 990, 222, 838, 152
• LCM of 284, 279, 877, 191

1. What is the LCM of 480, 334, 658, 415?

Answer: LCM of 480, 334, 658, 415 is 2188929120.

2. How to calculate the LCM of 480, 334, 658, 415?

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, 334, 658, 415.

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}.