Given numbers are 234,212,343,614

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

The LCM of 234,212,343,614 is 2611886004.

Find LCM of 234,212,343,614 with Prime Factorization

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

2 x 117 x 106 x 343 x 307 = 2611886004

Therefore, the lowest common multiple of 234,212,343,614 is 2611886004.

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.

234 x 212 x 343 x 614 = 10447544016

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

212 : 1, 2, 4, 53, 106, 212

343 : 1, 7, 49, 343

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,212,343,614, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

212:2x 2x 53

343:7x 7x 7

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10447544016/(1x4)

LCM = 10447544016/4

LCM = 2611886004

Thus, we can understand that the LCM of 234,212,343,614 is 2611886004.

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

• LCM of 622, 938, 566, 115
• LCM of 860, 280, 640, 182
• LCM of 959, 404, 456, 222
• LCM of 635, 897, 882, 476
• LCM of 294, 770, 839, 738

1. What is the LCM of 234, 212, 343, 614?

Answer: LCM of 234, 212, 343, 614 is 2611886004.

2. How to calculate the LCM of 234, 212, 343, 614?

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 234, 212, 343, 614.

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}.