Given numbers are 678,466,311

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

The LCM of 678,466,311 is 49129914.

Find LCM of 678,466,311 with Prime Factorization

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

2 x 339 x 233 x 311 = 49129914

Therefore, the lowest common multiple of 678,466,311 is 49129914.

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.

678 x 466 x 311 = 98259828

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

466 : 1, 2, 233, 466

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,466,311, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

466:2x 233

311:311

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 = 98259828/(1x2)

LCM = 98259828/2

LCM = 49129914

Thus, we can understand that the LCM of 678,466,311 is 49129914.

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

• LCM of 192, 906, 420
• LCM of 212, 115, 713
• LCM of 305, 881, 835
• LCM of 457, 899, 733
• LCM of 111, 472, 760

1. What is the LCM of 678, 466, 311?

Answer: LCM of 678, 466, 311 is 49129914.

2. How to calculate the LCM of 678, 466, 311?

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 678, 466, 311.

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}.