Given numbers are 212,676,558,840,993

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

The LCM of 212,676,558,840,993 is 231607598040.

Find LCM of 212,676,558,840,993 with Prime Factorization

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

2 x 2 x 3 x 53 x 169 x 93 x 70 x 331 = 231607598040

Therefore, the lowest common multiple of 212,676,558,840,993 is 231607598040.

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.

212 x 676 x 558 x 840 x 993 = 66702988235520

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.

212 : 1, 2, 4, 53, 106, 212

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,676,558,840,993, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

676:2x 2x 13x 13

558:2x 3x 3x 31

840:2x 2x 2x 3x 5x 7

993:3x 331

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 3 = 288

Therefore, the value for common factors is 288.

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 = 66702988235520/(1x288)

LCM = 66702988235520/288

LCM = 231607598040

Thus, we can understand that the LCM of 212,676,558,840,993 is 231607598040.

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

• LCM of 208, 570, 173, 383, 917
• LCM of 257, 239, 162, 293, 813
• LCM of 590, 161, 527, 488, 396
• LCM of 529, 948, 265, 329, 184
• LCM of 996, 621, 956, 566, 701

1. What is the LCM of 212, 676, 558, 840, 993?

Answer: LCM of 212, 676, 558, 840, 993 is 231607598040.

2. How to calculate the LCM of 212, 676, 558, 840, 993?

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 212, 676, 558, 840, 993.

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}.