Given numbers are 324,600,400,658,461

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

The LCM of 324,600,400,658,461 is 4914075600.

Find LCM of 324,600,400,658,461 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 27 x 1 x 2 x 329 x 461 = 4914075600

Therefore, the lowest common multiple of 324,600,400,658,461 is 4914075600.

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.

324 x 600 x 400 x 658 x 461 = 23587562880000

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

658 : 1, 2, 7, 14, 47, 94, 329, 658

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,600,400,658,461, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

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

400:2x 2x 2x 2x 5x 5

658:2x 7x 47

461:461

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 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 23587562880000/(1x4800)

LCM = 23587562880000/4800

LCM = 4914075600

Thus, we can understand that the LCM of 324,600,400,658,461 is 4914075600.

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

• LCM of 923, 477, 633, 234, 125
• LCM of 664, 100, 454, 300, 933
• LCM of 214, 516, 635, 610, 573
• LCM of 642, 261, 416, 334, 616
• LCM of 117, 978, 917, 759, 441

1. What is the LCM of 324, 600, 400, 658, 461?

Answer: LCM of 324, 600, 400, 658, 461 is 4914075600.

2. How to calculate the LCM of 324, 600, 400, 658, 461?

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 324, 600, 400, 658, 461.

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}.