Given numbers are 214,560,736,133,266

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

The LCM of 214,560,736,133,266 is 52370080.

Find LCM of 214,560,736,133,266 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 19 x 107 x 5 x 46 x 1 x 1 = 52370080

Therefore, the lowest common multiple of 214,560,736,133,266 is 52370080.

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 560 x 736 x 133 x 266 = 3120418846720

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

133 : 1, 7, 19, 133

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,560,736,133,266, is 1.

Now, the common factors can be found like this.

214:2x 107

560:2x 2x 2x 2x 5x 7

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

133:7x 19

266:2x 7x 19

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 7x 7x 19 = 59584

Therefore, the value for common factors is 59584.

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 = 3120418846720/(1x59584)

LCM = 3120418846720/59584

LCM = 52370080

Thus, we can understand that the LCM of 214,560,736,133,266 is 52370080.

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

• LCM of 195, 239, 263, 321, 649
• LCM of 833, 312, 293, 382, 453
• LCM of 102, 512, 220, 297, 727
• LCM of 249, 348, 175, 976, 602
• LCM of 718, 379, 910, 733, 383

1. What is the LCM of 214, 560, 736, 133, 266?

Answer: LCM of 214, 560, 736, 133, 266 is 52370080.

2. How to calculate the LCM of 214, 560, 736, 133, 266?

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, 560, 736, 133, 266.

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}.