Given numbers are 229,428,521,214

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

The LCM of 229,428,521,214 is 51064252.

Find LCM of 229,428,521,214 with Prime Factorization

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

2 x 107 x 229 x 2 x 521 x 1 = 51064252

Therefore, the lowest common multiple of 229,428,521,214 is 51064252.

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.

229 x 428 x 521 x 214 = 10927749928

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.

229 : 1, 229

428 : 1, 2, 4, 107, 214, 428

521 : 1, 521

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,428,521,214, is 1.

Now, the common factors can be found like this.

229:229

428:2x 2x 107

521:521

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 107 = 214

Therefore, the value for common factors is 214.

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 = 10927749928/(1x214)

LCM = 10927749928/214

LCM = 51064252

Thus, we can understand that the LCM of 229,428,521,214 is 51064252.

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

• LCM of 782, 353, 609, 627
• LCM of 391, 878, 621, 845
• LCM of 581, 632, 541, 405
• LCM of 131, 693, 803, 205
• LCM of 657, 447, 652, 163

1. What is the LCM of 229, 428, 521, 214?

Answer: LCM of 229, 428, 521, 214 is 51064252.

2. How to calculate the LCM of 229, 428, 521, 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 229, 428, 521, 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}.