Given numbers are 400,115,184,349

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

The LCM of 400,115,184,349 is 3210800.

Find LCM of 400,115,184,349 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 10 x 1 x 1 x 349 = 3210800

Therefore, the lowest common multiple of 400,115,184,349 is 3210800.

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.

400 x 115 x 184 x 349 = 2953936000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

115 : 1, 5, 23, 115

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

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,115,184,349, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

115:5x 23

184:2x 2x 2x 23

349:349

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

2x 2x 2x 5x 23 = 920

Therefore, the value for common factors is 920.

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 = 2953936000/(1x920)

LCM = 2953936000/920

LCM = 3210800

Thus, we can understand that the LCM of 400,115,184,349 is 3210800.

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

• LCM of 625, 154, 317, 320
• LCM of 676, 178, 682, 507
• LCM of 646, 882, 300, 536
• LCM of 774, 451, 104, 983
• LCM of 789, 802, 334, 350

1. What is the LCM of 400, 115, 184, 349?

Answer: LCM of 400, 115, 184, 349 is 3210800.

2. How to calculate the LCM of 400, 115, 184, 349?

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 400, 115, 184, 349.

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}.