Given numbers are 318,810,361,880

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

The LCM of 318,810,361,880 is 1363800240.

Find LCM of 318,810,361,880 with Prime Factorization

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

2 x 3 x 5 x 53 x 27 x 361 x 88 = 1363800240

Therefore, the lowest common multiple of 318,810,361,880 is 1363800240.

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.

318 x 810 x 361 x 880 = 81828014400

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,810,361,880, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

810:2x 3x 3x 3x 3x 5

361:19x 19

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 81828014400/(1x60)

LCM = 81828014400/60

LCM = 1363800240

Thus, we can understand that the LCM of 318,810,361,880 is 1363800240.

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

• LCM of 978, 331, 454, 719
• LCM of 824, 817, 776, 368
• LCM of 972, 151, 938, 726
• LCM of 521, 402, 786, 749
• LCM of 148, 104, 518, 125

1. What is the LCM of 318, 810, 361, 880?

Answer: LCM of 318, 810, 361, 880 is 1363800240.

2. How to calculate the LCM of 318, 810, 361, 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 318, 810, 361, 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}.