Given numbers are 214,301,344,310

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

The LCM of 214,301,344,310 is 39936680.

Find LCM of 214,301,344,310 with Prime Factorization

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

2 x 43 x 107 x 7 x 4 x 155 = 39936680

Therefore, the lowest common multiple of 214,301,344,310 is 39936680.

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 301 x 344 x 310 = 6869108960

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

301 : 1, 7, 43, 301

344 : 1, 2, 4, 8, 43, 86, 172, 344

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,301,344,310, is 1.

Now, the common factors can be found like this.

214:2x 107

301:7x 43

344:2x 2x 2x 43

310:2x 5x 31

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

2x 2x 43 = 172

Therefore, the value for common factors is 172.

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 = 6869108960/(1x172)

LCM = 6869108960/172

LCM = 39936680

Thus, we can understand that the LCM of 214,301,344,310 is 39936680.

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

• LCM of 112, 310, 189, 230
• LCM of 142, 597, 742, 379
• LCM of 658, 767, 841, 760
• LCM of 942, 732, 175, 141
• LCM of 417, 401, 192, 780

1. What is the LCM of 214, 301, 344, 310?

Answer: LCM of 214, 301, 344, 310 is 39936680.

2. How to calculate the LCM of 214, 301, 344, 310?

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, 301, 344, 310.

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}.