Given numbers are 518,226,312,489

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

The LCM of 518,226,312,489 is 1488402552.

Find LCM of 518,226,312,489 with Prime Factorization

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

2 x 3 x 259 x 113 x 52 x 163 = 1488402552

Therefore, the lowest common multiple of 518,226,312,489 is 1488402552.

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.

518 x 226 x 312 x 489 = 17860830624

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

226 : 1, 2, 113, 226

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,226,312,489, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

226:2x 113

312:2x 2x 2x 3x 13

489:3x 163

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 3 = 12

Therefore, the value for common factors is 12.

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 = 17860830624/(1x12)

LCM = 17860830624/12

LCM = 1488402552

Thus, we can understand that the LCM of 518,226,312,489 is 1488402552.

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

• LCM of 798, 167, 595, 735
• LCM of 341, 485, 836, 837
• LCM of 126, 802, 426, 212
• LCM of 495, 807, 818, 888
• LCM of 343, 366, 233, 780

1. What is the LCM of 518, 226, 312, 489?

Answer: LCM of 518, 226, 312, 489 is 1488402552.

2. How to calculate the LCM of 518, 226, 312, 489?

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 518, 226, 312, 489.

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}.