Given numbers are 314,304,799,214

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

The LCM of 314,304,799,214 is 4080409904.

Find LCM of 314,304,799,214 with Prime Factorization

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

2 x 157 x 152 x 799 x 107 = 4080409904

Therefore, the lowest common multiple of 314,304,799,214 is 4080409904.

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 304 x 799 x 214 = 16321639616

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

799 : 1, 17, 47, 799

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,304,799,214, is 1.

Now, the common factors can be found like this.

314:2x 157

304:2x 2x 2x 2x 19

799:17x 47

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16321639616/(1x4)

LCM = 16321639616/4

LCM = 4080409904

Thus, we can understand that the LCM of 314,304,799,214 is 4080409904.

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

• LCM of 901, 887, 754, 743
• LCM of 247, 897, 572, 578
• LCM of 680, 483, 659, 200
• LCM of 860, 524, 643, 954
• LCM of 981, 983, 381, 470

1. What is the LCM of 314, 304, 799, 214?

Answer: LCM of 314, 304, 799, 214 is 4080409904.

2. How to calculate the LCM of 314, 304, 799, 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, 304, 799, 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}.