Given numbers are 909,58,480,336

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

The LCM of 909,58,480,336 is 29524320.

Find LCM of 909,58,480,336 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 303 x 29 x 10 x 7 = 29524320

Therefore, the lowest common multiple of 909,58,480,336 is 29524320.

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.

909 x 58 x 480 x 336 = 8503004160

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.

909 : 1, 3, 9, 101, 303, 909

58 : 1, 2, 29, 58

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,58,480,336, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

58:2x 29

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

336:2x 2x 2x 2x 3x 7

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 8503004160/(1x288)

LCM = 8503004160/288

LCM = 29524320

Thus, we can understand that the LCM of 909,58,480,336 is 29524320.

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

• LCM of 876, 15, 138, 384
• LCM of 856, 66, 488, 854
• LCM of 727, 38, 335, 990
• LCM of 154, 50, 958, 128
• LCM of 794, 56, 178, 615

1. What is the LCM of 909, 58, 480, 336?

Answer: LCM of 909, 58, 480, 336 is 29524320.

2. How to calculate the LCM of 909, 58, 480, 336?

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 909, 58, 480, 336.

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}.