Given numbers are 468,577,924,789,920

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

The LCM of 468,577,924,789,920 is 1257754778280.

Find LCM of 468,577,924,789,920 with Prime Factorization

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

2 x 2 x 3 x 39 x 577 x 77 x 263 x 230 = 1257754778280

Therefore, the lowest common multiple of 468,577,924,789,920 is 1257754778280.

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.

468 x 577 x 924 x 789 x 920 = 181116688072320

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

577 : 1, 577

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

789 : 1, 3, 263, 789

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,577,924,789,920, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

577:577

924:2x 2x 3x 7x 11

789:3x 263

920:2x 2x 2x 5x 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 = 181116688072320/(1x144)

LCM = 181116688072320/144

LCM = 1257754778280

Thus, we can understand that the LCM of 468,577,924,789,920 is 1257754778280.

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

• LCM of 528, 970, 274, 965, 743
• LCM of 244, 685, 737, 542, 638
• LCM of 795, 732, 343, 105, 250
• LCM of 423, 104, 590, 886, 383
• LCM of 165, 510, 265, 667, 525

1. What is the LCM of 468, 577, 924, 789, 920?

Answer: LCM of 468, 577, 924, 789, 920 is 1257754778280.

2. How to calculate the LCM of 468, 577, 924, 789, 920?

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 468, 577, 924, 789, 920.

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}.