Given numbers are 401,291,417,578

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

The LCM of 401,291,417,578 is 9375188322.

Find LCM of 401,291,417,578 with Prime Factorization

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

3 x 401 x 97 x 139 x 578 = 9375188322

Therefore, the lowest common multiple of 401,291,417,578 is 9375188322.

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 291 x 417 x 578 = 28125564966

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

291 : 1, 3, 97, 291

417 : 1, 3, 139, 417

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,291,417,578, is 1.

Now, the common factors can be found like this.

401:401

291:3x 97

417:3x 139

578:2x 17x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 28125564966/(1x3)

LCM = 28125564966/3

LCM = 9375188322

Thus, we can understand that the LCM of 401,291,417,578 is 9375188322.

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

• LCM of 456, 151, 143, 970
• LCM of 412, 210, 528, 642
• LCM of 499, 885, 404, 732
• LCM of 904, 796, 587, 456
• LCM of 372, 890, 518, 286

1. What is the LCM of 401, 291, 417, 578?

Answer: LCM of 401, 291, 417, 578 is 9375188322.

2. How to calculate the LCM of 401, 291, 417, 578?

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, 291, 417, 578.

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}.