Given numbers are 215,670,675,928,121

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

The LCM of 215,670,675,928,121 is 218363666400.

Find LCM of 215,670,675,928,121 with Prime Factorization

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

2 x 5 x 43 x 67 x 135 x 464 x 121 = 218363666400

Therefore, the lowest common multiple of 215,670,675,928,121 is 218363666400.

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.

215 x 670 x 675 x 928 x 121 = 10918183320000

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.

215 : 1, 5, 43, 215

670 : 1, 2, 5, 10, 67, 134, 335, 670

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,670,675,928,121, is 1.

Now, the common factors can be found like this.

215:5x 43

670:2x 5x 67

675:3x 3x 3x 5x 5

928:2x 2x 2x 2x 2x 29

121:11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 10918183320000/(1x50)

LCM = 10918183320000/50

LCM = 218363666400

Thus, we can understand that the LCM of 215,670,675,928,121 is 218363666400.

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

• LCM of 919, 192, 842, 316, 238
• LCM of 257, 593, 161, 349, 974
• LCM of 121, 976, 256, 535, 704
• LCM of 308, 399, 463, 800, 897
• LCM of 388, 410, 280, 384, 105

1. What is the LCM of 215, 670, 675, 928, 121?

Answer: LCM of 215, 670, 675, 928, 121 is 218363666400.

2. How to calculate the LCM of 215, 670, 675, 928, 121?

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 215, 670, 675, 928, 121.

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}.