Given numbers are 500,305,312,104,932

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

The LCM of 500,305,312,104,932 is 554307000.

Find LCM of 500,305,312,104,932 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 25 x 61 x 3 x 1 x 233 = 554307000

Therefore, the lowest common multiple of 500,305,312,104,932 is 554307000.

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.

500 x 305 x 312 x 104 x 932 = 4611834240000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

305 : 1, 5, 61, 305

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

932 : 1, 2, 4, 233, 466, 932

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,305,312,104,932, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

305:5x 61

312:2x 2x 2x 3x 13

104:2x 2x 2x 13

932:2x 2x 233

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 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 4611834240000/(1x8320)

LCM = 4611834240000/8320

LCM = 554307000

Thus, we can understand that the LCM of 500,305,312,104,932 is 554307000.

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

• LCM of 331, 420, 746, 520, 521
• LCM of 457, 685, 895, 620, 918
• LCM of 737, 960, 916, 333, 392
• LCM of 944, 899, 289, 275, 435
• LCM of 771, 417, 605, 685, 453

1. What is the LCM of 500, 305, 312, 104, 932?

Answer: LCM of 500, 305, 312, 104, 932 is 554307000.

2. How to calculate the LCM of 500, 305, 312, 104, 932?

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 500, 305, 312, 104, 932.

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}.