Given numbers are 178,123,314

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

The LCM of 178,123,314 is 3437358.

Find LCM of 178,123,314 with Prime Factorization

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

2 x 89 x 123 x 157 = 3437358

Therefore, the lowest common multiple of 178,123,314 is 3437358.

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.

178 x 123 x 314 = 6874716

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.

178 : 1, 2, 89, 178

123 : 1, 3, 41, 123

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,123,314, is 1.

Now, the common factors can be found like this.

178:2x 89

123:3x 41

314:2x 157

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6874716/(1x2)

LCM = 6874716/2

LCM = 3437358

Thus, we can understand that the LCM of 178,123,314 is 3437358.

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

• LCM of 743, 787, 345
• LCM of 713, 312, 476
• LCM of 109, 202, 675
• LCM of 413, 483, 491
• LCM of 843, 608, 413

1. What is the LCM of 178, 123, 314?

Answer: LCM of 178, 123, 314 is 3437358.

2. How to calculate the LCM of 178, 123, 314?

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 178, 123, 314.

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}.