Given numbers are 898,370,214,46

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

The LCM of 898,370,214,46 is 408845930.

Find LCM of 898,370,214,46 with Prime Factorization

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

2 x 449 x 185 x 107 x 23 = 408845930

Therefore, the lowest common multiple of 898,370,214,46 is 408845930.

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.

898 x 370 x 214 x 46 = 3270767440

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.

898 : 1, 2, 449, 898

370 : 1, 2, 5, 10, 37, 74, 185, 370

214 : 1, 2, 107, 214

46 : 1, 2, 23, 46

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,370,214,46, is 2.

Now, the common factors can be found like this.

898:2x 449

370:2x 5x 37

214:2x 107

46:2x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3270767440/(2x4)

LCM = 3270767440/8

LCM = 408845930

Thus, we can understand that the LCM of 898,370,214,46 is 408845930.

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

• LCM of 670, 863, 777, 92
• LCM of 849, 456, 680, 50
• LCM of 469, 727, 791, 21
• LCM of 632, 373, 679, 82
• LCM of 676, 721, 766, 88

1. What is the LCM of 898, 370, 214, 46?

Answer: LCM of 898, 370, 214, 46 is 408845930.

2. How to calculate the LCM of 898, 370, 214, 46?

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 898, 370, 214, 46.

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}.