Given numbers are 346,181,400,114

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

The LCM of 346,181,400,114 is 713936400.

Find LCM of 346,181,400,114 with Prime Factorization

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

2 x 173 x 181 x 200 x 57 = 713936400

Therefore, the lowest common multiple of 346,181,400,114 is 713936400.

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.

346 x 181 x 400 x 114 = 2855745600

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.

346 : 1, 2, 173, 346

181 : 1, 181

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,181,400,114, is 1.

Now, the common factors can be found like this.

346:2x 173

181:181

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

114:2x 3x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2855745600/(1x4)

LCM = 2855745600/4

LCM = 713936400

Thus, we can understand that the LCM of 346,181,400,114 is 713936400.

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

• LCM of 712, 156, 281, 345
• LCM of 486, 396, 993, 543
• LCM of 141, 313, 686, 779
• LCM of 214, 541, 919, 766
• LCM of 533, 779, 695, 335

1. What is the LCM of 346, 181, 400, 114?

Answer: LCM of 346, 181, 400, 114 is 713936400.

2. How to calculate the LCM of 346, 181, 400, 114?

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 346, 181, 400, 114.

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}.