Given numbers are 314,443,678

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

The LCM of 314,443,678 is 47155578.

Find LCM of 314,443,678 with Prime Factorization

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

2 x 157 x 443 x 339 = 47155578

Therefore, the lowest common multiple of 314,443,678 is 47155578.

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.

314 x 443 x 678 = 94311156

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.

314 : 1, 2, 157, 314

443 : 1, 443

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,443,678, is 1.

Now, the common factors can be found like this.

314:2x 157

443:443

678:2x 3x 113

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 = 94311156/(1x2)

LCM = 94311156/2

LCM = 47155578

Thus, we can understand that the LCM of 314,443,678 is 47155578.

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

• LCM of 140, 250, 991
• LCM of 783, 179, 953
• LCM of 863, 143, 795
• LCM of 348, 616, 694
• LCM of 199, 166, 699

1. What is the LCM of 314, 443, 678?

Answer: LCM of 314, 443, 678 is 47155578.

2. How to calculate the LCM of 314, 443, 678?

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 314, 443, 678.

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}.