Given numbers are 306,312,545,489

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

The LCM of 306,312,545,489 is 1413542520.

Find LCM of 306,312,545,489 with Prime Factorization

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

2 x 3 x 51 x 52 x 545 x 163 = 1413542520

Therefore, the lowest common multiple of 306,312,545,489 is 1413542520.

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.

306 x 312 x 545 x 489 = 25443765360

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

545 : 1, 5, 109, 545

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,312,545,489, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

312:2x 2x 2x 3x 13

545:5x 109

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 25443765360/(1x18)

LCM = 25443765360/18

LCM = 1413542520

Thus, we can understand that the LCM of 306,312,545,489 is 1413542520.

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

• LCM of 230, 705, 295, 786
• LCM of 264, 810, 548, 181
• LCM of 359, 898, 573, 734
• LCM of 535, 542, 930, 446
• LCM of 511, 473, 781, 373

1. What is the LCM of 306, 312, 545, 489?

Answer: LCM of 306, 312, 545, 489 is 1413542520.

2. How to calculate the LCM of 306, 312, 545, 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 306, 312, 545, 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}.