Given numbers are 396,536,420,273,507

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

The LCM of 396,536,420,273,507 is 313873560.

Find LCM of 396,536,420,273,507 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 33 x 134 x 5 x 1 x 13 = 313873560

Therefore, the lowest common multiple of 396,536,420,273,507 is 313873560.

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.

396 x 536 x 420 x 273 x 507 = 12338997390720

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,536,420,273,507, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

536:2x 2x 2x 67

420:2x 2x 3x 5x 7

273:3x 7x 13

507:3x 13x 13

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 3x 3x 3x 7x 13 = 39312

Therefore, the value for common factors is 39312.

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 = 12338997390720/(1x39312)

LCM = 12338997390720/39312

LCM = 313873560

Thus, we can understand that the LCM of 396,536,420,273,507 is 313873560.

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

• LCM of 519, 149, 899, 852, 322
• LCM of 887, 495, 134, 564, 342
• LCM of 527, 763, 449, 623, 427
• LCM of 695, 703, 799, 504, 593
• LCM of 181, 344, 773, 638, 621

1. What is the LCM of 396, 536, 420, 273, 507?

Answer: LCM of 396, 536, 420, 273, 507 is 313873560.

2. How to calculate the LCM of 396, 536, 420, 273, 507?

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 396, 536, 420, 273, 507.

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}.