Given numbers are 312,537,561,484,498

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

The LCM of 312,537,561,484,498 is 9534984888.

Find LCM of 312,537,561,484,498 with Prime Factorization

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

2 x 2 x 3 x 11 x 26 x 179 x 17 x 11 x 83 = 9534984888

Therefore, the lowest common multiple of 312,537,561,484,498 is 9534984888.

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.

312 x 537 x 561 x 484 x 498 = 22655124093888

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

537 : 1, 3, 179, 537

561 : 1, 3, 11, 17, 33, 51, 187, 561

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,537,561,484,498, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

537:3x 179

561:3x 11x 17

484:2x 2x 11x 11

498:2x 3x 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 2x 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 22655124093888/(1x2376)

LCM = 22655124093888/2376

LCM = 9534984888

Thus, we can understand that the LCM of 312,537,561,484,498 is 9534984888.

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

• LCM of 823, 959, 842, 776, 893
• LCM of 690, 715, 303, 121, 534
• LCM of 955, 541, 908, 871, 835
• LCM of 911, 501, 680, 654, 478
• LCM of 205, 801, 868, 173, 496

1. What is the LCM of 312, 537, 561, 484, 498?

Answer: LCM of 312, 537, 561, 484, 498 is 9534984888.

2. How to calculate the LCM of 312, 537, 561, 484, 498?

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 312, 537, 561, 484, 498.

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}.