Given numbers are 909,192,377,214

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

The LCM of 909,192,377,214 is 2346761664.

Find LCM of 909,192,377,214 with Prime Factorization

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

2 x 3 x 303 x 32 x 377 x 107 = 2346761664

Therefore, the lowest common multiple of 909,192,377,214 is 2346761664.

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.

909 x 192 x 377 x 214 = 14080569984

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.

909 : 1, 3, 9, 101, 303, 909

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

377 : 1, 13, 29, 377

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,192,377,214, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

192:2x 2x 2x 2x 2x 2x 3

377:13x 29

214:2x 107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 14080569984/(1x6)

LCM = 14080569984/6

LCM = 2346761664

Thus, we can understand that the LCM of 909,192,377,214 is 2346761664.

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

• LCM of 903, 361, 311, 704
• LCM of 709, 776, 226, 283
• LCM of 830, 274, 513, 970
• LCM of 918, 229, 383, 109
• LCM of 770, 632, 560, 944

1. What is the LCM of 909, 192, 377, 214?

Answer: LCM of 909, 192, 377, 214 is 2346761664.

2. How to calculate the LCM of 909, 192, 377, 214?

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 909, 192, 377, 214.

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}.