Given numbers are 507,908,168,558,990

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

The LCM of 507,908,168,558,990 is 32966093160.

Find LCM of 507,908,168,558,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 169 x 227 x 14 x 31 x 55 = 32966093160

Therefore, the lowest common multiple of 507,908,168,558,990 is 32966093160.

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.

507 x 908 x 168 x 558 x 990 = 42724056735360

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.

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

908 : 1, 2, 4, 227, 454, 908

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

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,908,168,558,990, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

908:2x 2x 227

168:2x 2x 2x 3x 7

558:2x 3x 3x 31

990:2x 3x 3x 5x 11

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 3 = 1296

Therefore, the value for common factors is 1296.

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 = 42724056735360/(1x1296)

LCM = 42724056735360/1296

LCM = 32966093160

Thus, we can understand that the LCM of 507,908,168,558,990 is 32966093160.

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

• LCM of 521, 212, 124, 117, 139
• LCM of 338, 795, 498, 284, 424
• LCM of 988, 924, 230, 930, 467
• LCM of 483, 620, 566, 949, 631
• LCM of 965, 138, 720, 451, 360

1. What is the LCM of 507, 908, 168, 558, 990?

Answer: LCM of 507, 908, 168, 558, 990 is 32966093160.

2. How to calculate the LCM of 507, 908, 168, 558, 990?

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 507, 908, 168, 558, 990.

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}.