Given numbers are 214,115,326,189

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

The LCM of 214,115,326,189 is 758160270.

Find LCM of 214,115,326,189 with Prime Factorization

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

2 x 107 x 115 x 163 x 189 = 758160270

Therefore, the lowest common multiple of 214,115,326,189 is 758160270.

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 115 x 326 x 189 = 1516320540

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

115 : 1, 5, 23, 115

326 : 1, 2, 163, 326

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,115,326,189, is 1.

Now, the common factors can be found like this.

214:2x 107

115:5x 23

326:2x 163

189:3x 3x 3x 7

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 = 1516320540/(1x2)

LCM = 1516320540/2

LCM = 758160270

Thus, we can understand that the LCM of 214,115,326,189 is 758160270.

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

• LCM of 143, 314, 773, 927
• LCM of 683, 931, 694, 315
• LCM of 614, 783, 659, 493
• LCM of 577, 308, 128, 333
• LCM of 414, 781, 860, 194

1. What is the LCM of 214, 115, 326, 189?

Answer: LCM of 214, 115, 326, 189 is 758160270.

2. How to calculate the LCM of 214, 115, 326, 189?

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, 115, 326, 189.

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}.