Given numbers are 401,305,247,230,345

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

The LCM of 401,305,247,230,345 is 4168888230.

Find LCM of 401,305,247,230,345 with Prime Factorization

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

5 x 23 x 401 x 61 x 247 x 2 x 3 = 4168888230

Therefore, the lowest common multiple of 401,305,247,230,345 is 4168888230.

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 305 x 247 x 230 x 345 = 2397110732250

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

305 : 1, 5, 61, 305

247 : 1, 13, 19, 247

230 : 1, 2, 5, 10, 23, 46, 115, 230

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,305,247,230,345, is 1.

Now, the common factors can be found like this.

401:401

305:5x 61

247:13x 19

230:2x 5x 23

345:3x 5x 23

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 2397110732250/(1x575)

LCM = 2397110732250/575

LCM = 4168888230

Thus, we can understand that the LCM of 401,305,247,230,345 is 4168888230.

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

• LCM of 514, 813, 751, 406, 667
• LCM of 278, 577, 661, 783, 661
• LCM of 901, 260, 565, 438, 310
• LCM of 491, 306, 422, 759, 975
• LCM of 481, 538, 238, 381, 971

1. What is the LCM of 401, 305, 247, 230, 345?

Answer: LCM of 401, 305, 247, 230, 345 is 4168888230.

2. How to calculate the LCM of 401, 305, 247, 230, 345?

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, 305, 247, 230, 345.

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}.