Given numbers are 468,578,276,312,880

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

The LCM of 468,578,276,312,880 is 684375120.

Find LCM of 468,578,276,312,880 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 289 x 23 x 3 x 110 = 684375120

Therefore, the lowest common multiple of 468,578,276,312,880 is 684375120.

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 578 x 276 x 312 x 880 = 20498403594240

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

578 : 1, 2, 17, 34, 289, 578

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,578,276,312,880, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

578:2x 17x 17

276:2x 2x 3x 23

312:2x 2x 2x 3x 13

880:2x 2x 2x 2x 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 2x 2x 2x 3x 3x 13 = 14976

Therefore, the value for common factors is 14976.

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 = 20498403594240/(2x14976)

LCM = 20498403594240/29952

LCM = 684375120

Thus, we can understand that the LCM of 468,578,276,312,880 is 684375120.

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

• LCM of 623, 790, 825, 114, 699
• LCM of 270, 690, 597, 342, 508
• LCM of 984, 291, 901, 982, 593
• LCM of 694, 137, 434, 352, 410
• LCM of 604, 679, 633, 735, 645

1. What is the LCM of 468, 578, 276, 312, 880?

Answer: LCM of 468, 578, 276, 312, 880 is 684375120.

2. How to calculate the LCM of 468, 578, 276, 312, 880?

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, 578, 276, 312, 880.

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}.