Given numbers are 401,745,115,368

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

The LCM of 401,745,115,368 is 109938160.

Find LCM of 401,745,115,368 with Prime Factorization

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

5 x 23 x 401 x 149 x 1 x 16 = 109938160

Therefore, the lowest common multiple of 401,745,115,368 is 109938160.

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 745 x 115 x 368 = 12642888400

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

745 : 1, 5, 149, 745

115 : 1, 5, 23, 115

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,745,115,368, is 1.

Now, the common factors can be found like this.

401:401

745:5x 149

115:5x 23

368:2x 2x 2x 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.

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 12642888400/(1x115)

LCM = 12642888400/115

LCM = 109938160

Thus, we can understand that the LCM of 401,745,115,368 is 109938160.

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

• LCM of 366, 394, 436, 468
• LCM of 181, 771, 152, 188
• LCM of 745, 877, 900, 571
• LCM of 892, 503, 607, 183
• LCM of 538, 430, 719, 669

1. What is the LCM of 401, 745, 115, 368?

Answer: LCM of 401, 745, 115, 368 is 109938160.

2. How to calculate the LCM of 401, 745, 115, 368?

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, 745, 115, 368.

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}.