Given numbers are 318,418,168,714,810

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

The LCM of 318,418,168,714,810 is 4270848120.

Find LCM of 318,418,168,714,810 with Prime Factorization

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

2 x 3 x 7 x 53 x 209 x 4 x 17 x 135 = 4270848120

Therefore, the lowest common multiple of 318,418,168,714,810 is 4270848120.

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 418 x 168 x 714 x 810 = 12915044714880

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,418,168,714,810, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

418:2x 11x 19

168:2x 2x 2x 3x 7

714:2x 3x 7x 17

810:2x 3x 3x 3x 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 2x 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 12915044714880/(2x1512)

LCM = 12915044714880/3024

LCM = 4270848120

Thus, we can understand that the LCM of 318,418,168,714,810 is 4270848120.

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

• LCM of 708, 624, 136, 356, 354
• LCM of 194, 416, 152, 804, 666
• LCM of 267, 305, 726, 583, 949
• LCM of 253, 666, 866, 859, 679
• LCM of 237, 273, 930, 703, 809

1. What is the LCM of 318, 418, 168, 714, 810?

Answer: LCM of 318, 418, 168, 714, 810 is 4270848120.

2. How to calculate the LCM of 318, 418, 168, 714, 810?

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, 418, 168, 714, 810.

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}.