Given numbers are 634,230,341,214

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

The LCM of 634,230,341,214 is 2660267170.

Find LCM of 634,230,341,214 with Prime Factorization

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

2 x 317 x 115 x 341 x 107 = 2660267170

Therefore, the lowest common multiple of 634,230,341,214 is 2660267170.

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.

634 x 230 x 341 x 214 = 10641068680

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.

634 : 1, 2, 317, 634

230 : 1, 2, 5, 10, 23, 46, 115, 230

341 : 1, 11, 31, 341

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,230,341,214, is 1.

Now, the common factors can be found like this.

634:2x 317

230:2x 5x 23

341:11x 31

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 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 = 10641068680/(1x4)

LCM = 10641068680/4

LCM = 2660267170

Thus, we can understand that the LCM of 634,230,341,214 is 2660267170.

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

• LCM of 995, 325, 400, 254
• LCM of 958, 457, 668, 242
• LCM of 691, 473, 832, 985
• LCM of 735, 848, 111, 855
• LCM of 786, 467, 395, 796

1. What is the LCM of 634, 230, 341, 214?

Answer: LCM of 634, 230, 341, 214 is 2660267170.

2. How to calculate the LCM of 634, 230, 341, 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 634, 230, 341, 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}.