Given numbers are 401,900,253,653,218

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

The LCM of 401,900,253,653,218 is 6499008162900.

Find LCM of 401,900,253,653,218 with Prime Factorization

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

2 x 401 x 450 x 253 x 653 x 109 = 6499008162900

Therefore, the lowest common multiple of 401,900,253,653,218 is 6499008162900.

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.

401 x 900 x 253 x 653 x 218 = 12998016325800

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.

401 : 1, 401

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

253 : 1, 11, 23, 253

653 : 1, 653

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,900,253,653,218, is 1.

Now, the common factors can be found like this.

401:401

900:2x 2x 3x 3x 5x 5

253:11x 23

653:653

218:2x 109

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

2 = 2

Therefore, the value for common factors is 2.

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 = 12998016325800/(1x2)

LCM = 12998016325800/2

LCM = 6499008162900

Thus, we can understand that the LCM of 401,900,253,653,218 is 6499008162900.

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

• LCM of 694, 864, 110, 514, 984
• LCM of 963, 189, 372, 249, 256
• LCM of 432, 466, 541, 505, 260
• LCM of 494, 149, 706, 103, 735
• LCM of 727, 227, 758, 851, 784

1. What is the LCM of 401, 900, 253, 653, 218?

Answer: LCM of 401, 900, 253, 653, 218 is 6499008162900.

2. How to calculate the LCM of 401, 900, 253, 653, 218?

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 401, 900, 253, 653, 218.

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}.