Given numbers are 214,277,312,194

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

The LCM of 214,277,312,194 is 896994696.

Find LCM of 214,277,312,194 with Prime Factorization

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

2 x 107 x 277 x 156 x 97 = 896994696

Therefore, the lowest common multiple of 214,277,312,194 is 896994696.

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 277 x 312 x 194 = 3587978784

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

277 : 1, 277

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,277,312,194, is 1.

Now, the common factors can be found like this.

214:2x 107

277:277

312:2x 2x 2x 3x 13

194:2x 97

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 = 3587978784/(1x4)

LCM = 3587978784/4

LCM = 896994696

Thus, we can understand that the LCM of 214,277,312,194 is 896994696.

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

• LCM of 336, 883, 561, 163
• LCM of 749, 371, 148, 260
• LCM of 216, 255, 806, 448
• LCM of 889, 261, 418, 914
• LCM of 982, 703, 880, 262

1. What is the LCM of 214, 277, 312, 194?

Answer: LCM of 214, 277, 312, 194 is 896994696.

2. How to calculate the LCM of 214, 277, 312, 194?

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, 277, 312, 194.

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}.