Given numbers are 314,723,214

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

The LCM of 314,723,214 is 24291354.

Find LCM of 314,723,214 with Prime Factorization

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

2 x 157 x 723 x 107 = 24291354

Therefore, the lowest common multiple of 314,723,214 is 24291354.

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 723 x 214 = 48582708

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

723 : 1, 3, 241, 723

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,723,214, is 1.

Now, the common factors can be found like this.

314:2x 157

723:3x 241

214:2x 107

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 = 48582708/(1x2)

LCM = 48582708/2

LCM = 24291354

Thus, we can understand that the LCM of 314,723,214 is 24291354.

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

• LCM of 584, 538, 455
• LCM of 855, 550, 273
• LCM of 715, 843, 448
• LCM of 851, 385, 828
• LCM of 728, 779, 840

1. What is the LCM of 314, 723, 214?

Answer: LCM of 314, 723, 214 is 24291354.

2. How to calculate the LCM of 314, 723, 214?

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, 723, 214.

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}.