Given numbers are 878,578,310,480

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

The LCM of 878,578,310,480 is 1887840480.

Find LCM of 878,578,310,480 with Prime Factorization

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

2 x 5 x 439 x 289 x 31 x 48 = 1887840480

Therefore, the lowest common multiple of 878,578,310,480 is 1887840480.

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.

878 x 578 x 310 x 480 = 75513619200

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.

878 : 1, 2, 439, 878

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,578,310,480, is 2.

Now, the common factors can be found like this.

878:2x 439

578:2x 17x 17

310:2x 5x 31

480:2x 2x 2x 2x 2x 3x 5

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 5 = 20

Therefore, the value for common factors is 20.

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 = 75513619200/(2x20)

LCM = 75513619200/40

LCM = 1887840480

Thus, we can understand that the LCM of 878,578,310,480 is 1887840480.

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

• LCM of 360, 263, 989, 405
• LCM of 755, 942, 695, 690
• LCM of 101, 688, 988, 427
• LCM of 961, 823, 761, 614
• LCM of 674, 701, 518, 110

1. What is the LCM of 878, 578, 310, 480?

Answer: LCM of 878, 578, 310, 480 is 1887840480.

2. How to calculate the LCM of 878, 578, 310, 480?

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 878, 578, 310, 480.

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}.