Given numbers are 214,779,321,225

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

The LCM of 214,779,321,225 is 37508850.

Find LCM of 214,779,321,225 with Prime Factorization

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

3 x 107 x 2 x 779 x 1 x 75 = 37508850

Therefore, the lowest common multiple of 214,779,321,225 is 37508850.

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 779 x 321 x 225 = 12040340850

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

779 : 1, 19, 41, 779

321 : 1, 3, 107, 321

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,779,321,225, is 1.

Now, the common factors can be found like this.

214:2x 107

779:19x 41

321:3x 107

225:3x 3x 5x 5

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 12040340850/(1x321)

LCM = 12040340850/321

LCM = 37508850

Thus, we can understand that the LCM of 214,779,321,225 is 37508850.

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

• LCM of 123, 826, 723, 633
• LCM of 328, 380, 446, 198
• LCM of 774, 381, 217, 141
• LCM of 197, 109, 783, 916
• LCM of 566, 467, 682, 221

1. What is the LCM of 214, 779, 321, 225?

Answer: LCM of 214, 779, 321, 225 is 37508850.

2. How to calculate the LCM of 214, 779, 321, 225?

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, 779, 321, 225.

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}.