Given numbers are 305,359,366,914

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

The LCM of 305,359,366,914 is 300235290.

Find LCM of 305,359,366,914 with Prime Factorization

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

2 x 61 x 5 x 359 x 3 x 457 = 300235290

Therefore, the lowest common multiple of 305,359,366,914 is 300235290.

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.

305 x 359 x 366 x 914 = 36628705380

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.

305 : 1, 5, 61, 305

359 : 1, 359

366 : 1, 2, 3, 6, 61, 122, 183, 366

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,359,366,914, is 1.

Now, the common factors can be found like this.

305:5x 61

359:359

366:2x 3x 61

914:2x 457

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 36628705380/(1x122)

LCM = 36628705380/122

LCM = 300235290

Thus, we can understand that the LCM of 305,359,366,914 is 300235290.

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

• LCM of 710, 147, 502, 988
• LCM of 613, 182, 287, 836
• LCM of 594, 786, 213, 830
• LCM of 747, 331, 495, 964
• LCM of 562, 880, 168, 140

1. What is the LCM of 305, 359, 366, 914?

Answer: LCM of 305, 359, 366, 914 is 300235290.

2. How to calculate the LCM of 305, 359, 366, 914?

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 305, 359, 366, 914.

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}.