Given numbers are 306,314,212,802,410

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

The LCM of 306,314,212,802,410 is 418625016660.

Find LCM of 306,314,212,802,410 with Prime Factorization

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

2 x 153 x 157 x 106 x 401 x 205 = 418625016660

Therefore, the lowest common multiple of 306,314,212,802,410 is 418625016660.

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.

306 x 314 x 212 x 802 x 410 = 6698000266560

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

314 : 1, 2, 157, 314

212 : 1, 2, 4, 53, 106, 212

802 : 1, 2, 401, 802

410 : 1, 2, 5, 10, 41, 82, 205, 410

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,314,212,802,410, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

314:2x 157

212:2x 2x 53

802:2x 401

410:2x 5x 41

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6698000266560/(2x8)

LCM = 6698000266560/16

LCM = 418625016660

Thus, we can understand that the LCM of 306,314,212,802,410 is 418625016660.

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

• LCM of 414, 929, 934, 366, 524
• LCM of 557, 603, 329, 644, 385
• LCM of 583, 992, 750, 200, 730
• LCM of 134, 138, 537, 835, 958
• LCM of 657, 217, 567, 735, 716

1. What is the LCM of 306, 314, 212, 802, 410?

Answer: LCM of 306, 314, 212, 802, 410 is 418625016660.

2. How to calculate the LCM of 306, 314, 212, 802, 410?

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 306, 314, 212, 802, 410.

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}.