Given numbers are 214,764,229,523

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

The LCM of 214,764,229,523 is 9790712716.

Find LCM of 214,764,229,523 with Prime Factorization

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

2 x 107 x 382 x 229 x 523 = 9790712716

Therefore, the lowest common multiple of 214,764,229,523 is 9790712716.

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 229 x 523 = 19581425432

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

229 : 1, 229

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,764,229,523, is 1.

Now, the common factors can be found like this.

214:2x 107

764:2x 2x 191

229:229

523:523

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 = 19581425432/(1x2)

LCM = 19581425432/2

LCM = 9790712716

Thus, we can understand that the LCM of 214,764,229,523 is 9790712716.

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

• LCM of 169, 882, 988, 505
• LCM of 992, 425, 769, 791
• LCM of 994, 811, 444, 836
• LCM of 688, 962, 457, 610
• LCM of 762, 974, 948, 325

1. What is the LCM of 214, 764, 229, 523?

Answer: LCM of 214, 764, 229, 523 is 9790712716.

2. How to calculate the LCM of 214, 764, 229, 523?

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, 229, 523.

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}.