Given numbers are 146,204,225,363,901

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

The LCM of 146,204,225,363,901 is 7162679700.

Find LCM of 146,204,225,363,901 with Prime Factorization

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

2 x 3 x 17 x 73 x 2 x 75 x 121 x 53 = 7162679700

Therefore, the lowest common multiple of 146,204,225,363,901 is 7162679700.

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.

146 x 204 x 225 x 363 x 901 = 2191779988200

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.

146 : 1, 2, 73, 146

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

363 : 1, 3, 11, 33, 121, 363

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,204,225,363,901, is 1.

Now, the common factors can be found like this.

146:2x 73

204:2x 2x 3x 17

225:3x 3x 5x 5

363:3x 11x 11

901:17x 53

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 2191779988200/(1x306)

LCM = 2191779988200/306

LCM = 7162679700

Thus, we can understand that the LCM of 146,204,225,363,901 is 7162679700.

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

• LCM of 993, 521, 302, 271, 979
• LCM of 780, 952, 585, 104, 795
• LCM of 649, 579, 488, 191, 107
• LCM of 123, 822, 376, 943, 785
• LCM of 972, 585, 410, 899, 713

1. What is the LCM of 146, 204, 225, 363, 901?

Answer: LCM of 146, 204, 225, 363, 901 is 7162679700.

2. How to calculate the LCM of 146, 204, 225, 363, 901?

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 146, 204, 225, 363, 901.

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}.