Given numbers are 214,750,736,488

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

The LCM of 214,750,736,488 is 1801452000.

Find LCM of 214,750,736,488 with Prime Factorization

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

2 x 2 x 2 x 107 x 375 x 92 x 61 = 1801452000

Therefore, the lowest common multiple of 214,750,736,488 is 1801452000.

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.

214 x 750 x 736 x 488 = 57646464000

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.

214 : 1, 2, 107, 214

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

488 : 1, 2, 4, 8, 61, 122, 244, 488

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,750,736,488, is 2.

Now, the common factors can be found like this.

214:2x 107

750:2x 3x 5x 5x 5

736:2x 2x 2x 2x 2x 23

488:2x 2x 2x 61

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 2 = 16

Therefore, the value for common factors is 16.

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 = 57646464000/(2x16)

LCM = 57646464000/32

LCM = 1801452000

Thus, we can understand that the LCM of 214,750,736,488 is 1801452000.

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

• LCM of 947, 395, 110, 950
• LCM of 860, 390, 370, 263
• LCM of 139, 716, 373, 264
• LCM of 425, 548, 426, 732
• LCM of 698, 878, 369, 139

1. What is the LCM of 214, 750, 736, 488?

Answer: LCM of 214, 750, 736, 488 is 1801452000.

2. How to calculate the LCM of 214, 750, 736, 488?

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 214, 750, 736, 488.

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}.