Given numbers are 504,402,336,334,311

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

The LCM of 504,402,336,334,311 is 3507617232.

Find LCM of 504,402,336,334,311 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 3 x 67 x 2 x 167 x 311 = 3507617232

Therefore, the lowest common multiple of 504,402,336,334,311 is 3507617232.

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.

504 x 402 x 336 x 334 x 311 = 7071356339712

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

334 : 1, 2, 167, 334

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,402,336,334,311, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

402:2x 3x 67

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

334:2x 167

311:311

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 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 7071356339712/(1x2016)

LCM = 7071356339712/2016

LCM = 3507617232

Thus, we can understand that the LCM of 504,402,336,334,311 is 3507617232.

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

• LCM of 838, 841, 378, 458, 486
• LCM of 965, 724, 696, 456, 876
• LCM of 221, 117, 263, 561, 261
• LCM of 358, 441, 278, 310, 975
• LCM of 530, 547, 886, 580, 810

1. What is the LCM of 504, 402, 336, 334, 311?

Answer: LCM of 504, 402, 336, 334, 311 is 3507617232.

2. How to calculate the LCM of 504, 402, 336, 334, 311?

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 504, 402, 336, 334, 311.

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}.