Given numbers are 334,138,312

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

The LCM of 334,138,312 is 1198392.

Find LCM of 334,138,312 with Prime Factorization

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

2 x 3 x 167 x 23 x 52 = 1198392

Therefore, the lowest common multiple of 334,138,312 is 1198392.

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.

334 x 138 x 312 = 14380704

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.

334 : 1, 2, 167, 334

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,138,312, is 2.

Now, the common factors can be found like this.

334:2x 167

138:2x 3x 23

312:2x 2x 2x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 14380704/(2x6)

LCM = 14380704/12

LCM = 1198392

Thus, we can understand that the LCM of 334,138,312 is 1198392.

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

• LCM of 945, 314, 293
• LCM of 641, 329, 346
• LCM of 405, 333, 860
• LCM of 660, 196, 416
• LCM of 161, 419, 887

1. What is the LCM of 334, 138, 312?

Answer: LCM of 334, 138, 312 is 1198392.

2. How to calculate the LCM of 334, 138, 312?

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 334, 138, 312.

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}.