Given numbers are 489,600,714,506

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

The LCM of 489,600,714,506 is 2944464600.

Find LCM of 489,600,714,506 with Prime Factorization

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

2 x 3 x 163 x 100 x 119 x 253 = 2944464600

Therefore, the lowest common multiple of 489,600,714,506 is 2944464600.

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.

489 x 600 x 714 x 506 = 106000725600

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.

489 : 1, 3, 163, 489

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,600,714,506, is 1.

Now, the common factors can be found like this.

489:3x 163

600:2x 2x 2x 3x 5x 5

714:2x 3x 7x 17

506:2x 11x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 106000725600/(1x36)

LCM = 106000725600/36

LCM = 2944464600

Thus, we can understand that the LCM of 489,600,714,506 is 2944464600.

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

• LCM of 633, 144, 203, 387
• LCM of 274, 359, 603, 926
• LCM of 672, 518, 371, 573
• LCM of 524, 338, 625, 508
• LCM of 735, 139, 321, 726

1. What is the LCM of 489, 600, 714, 506?

Answer: LCM of 489, 600, 714, 506 is 2944464600.

2. How to calculate the LCM of 489, 600, 714, 506?

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 489, 600, 714, 506.

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}.