Given numbers are 314,209,286,638

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

The LCM of 314,209,286,638 is 24741002.

Find LCM of 314,209,286,638 with Prime Factorization

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

2 x 11 x 157 x 19 x 13 x 29 = 24741002

Therefore, the lowest common multiple of 314,209,286,638 is 24741002.

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 209 x 286 x 638 = 11974644968

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

209 : 1, 11, 19, 209

286 : 1, 2, 11, 13, 22, 26, 143, 286

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,209,286,638, is 1.

Now, the common factors can be found like this.

314:2x 157

209:11x 19

286:2x 11x 13

638:2x 11x 29

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

2x 2x 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 11974644968/(1x484)

LCM = 11974644968/484

LCM = 24741002

Thus, we can understand that the LCM of 314,209,286,638 is 24741002.

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

• LCM of 443, 922, 510, 455
• LCM of 500, 739, 987, 974
• LCM of 729, 629, 675, 988
• LCM of 292, 586, 473, 488
• LCM of 612, 361, 260, 398

1. What is the LCM of 314, 209, 286, 638?

Answer: LCM of 314, 209, 286, 638 is 24741002.

2. How to calculate the LCM of 314, 209, 286, 638?

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, 209, 286, 638.

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}.