Given numbers are 214,764,461,377

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

The LCM of 214,764,461,377 is 14207557156.

Find LCM of 214,764,461,377 with Prime Factorization

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

2 x 107 x 382 x 461 x 377 = 14207557156

Therefore, the lowest common multiple of 214,764,461,377 is 14207557156.

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.

214 x 764 x 461 x 377 = 28415114312

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.

214 : 1, 2, 107, 214

764 : 1, 2, 4, 191, 382, 764

461 : 1, 461

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,764,461,377, is 1.

Now, the common factors can be found like this.

214:2x 107

764:2x 2x 191

461:461

377:13x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 28415114312/(1x2)

LCM = 28415114312/2

LCM = 14207557156

Thus, we can understand that the LCM of 214,764,461,377 is 14207557156.

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

• LCM of 118, 538, 906, 593
• LCM of 878, 801, 541, 334
• LCM of 340, 627, 504, 221
• LCM of 682, 249, 142, 140
• LCM of 860, 320, 215, 272

1. What is the LCM of 214, 764, 461, 377?

Answer: LCM of 214, 764, 461, 377 is 14207557156.

2. How to calculate the LCM of 214, 764, 461, 377?

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 214, 764, 461, 377.

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}.