Given numbers are 509,121,988,648,828

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

The LCM of 509,121,988,648,828 is 226726846632.

Find LCM of 509,121,988,648,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 509 x 121 x 247 x 18 x 23 = 226726846632

Therefore, the lowest common multiple of 509,121,988,648,828 is 226726846632.

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.

509 x 121 x 988 x 648 x 828 = 32648665915008

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.

509 : 1, 509

121 : 1, 11, 121

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,121,988,648,828, is 1.

Now, the common factors can be found like this.

509:509

121:11x 11

988:2x 2x 13x 19

648:2x 2x 2x 3x 3x 3x 3

828:2x 2x 3x 3x 23

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 3 = 144

Therefore, the value for common factors is 144.

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 = 32648665915008/(1x144)

LCM = 32648665915008/144

LCM = 226726846632

Thus, we can understand that the LCM of 509,121,988,648,828 is 226726846632.

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

• LCM of 857, 569, 905, 594, 905
• LCM of 457, 951, 420, 331, 985
• LCM of 618, 190, 363, 622, 988
• LCM of 542, 687, 994, 839, 284
• LCM of 363, 664, 984, 200, 413

1. What is the LCM of 509, 121, 988, 648, 828?

Answer: LCM of 509, 121, 988, 648, 828 is 226726846632.

2. How to calculate the LCM of 509, 121, 988, 648, 828?

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 509, 121, 988, 648, 828.

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}.