Given numbers are 306,889,442,508,517

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

The LCM of 306,889,442,508,517 is 3656681028.

Find LCM of 306,889,442,508,517 with Prime Factorization

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

2 x 17 x 127 x 9 x 7 x 13 x 2 x 517 = 3656681028

Therefore, the lowest common multiple of 306,889,442,508,517 is 3656681028.

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 889 x 442 x 508 x 517 = 31579097357808

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

889 : 1, 7, 127, 889

442 : 1, 2, 13, 17, 26, 34, 221, 442

508 : 1, 2, 4, 127, 254, 508

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,889,442,508,517, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

889:7x 127

442:2x 13x 17

508:2x 2x 127

517:11x 47

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 17x 127 = 8636

Therefore, the value for common factors is 8636.

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 = 31579097357808/(1x8636)

LCM = 31579097357808/8636

LCM = 3656681028

Thus, we can understand that the LCM of 306,889,442,508,517 is 3656681028.

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

• LCM of 754, 389, 149, 612, 757
• LCM of 321, 448, 589, 615, 222
• LCM of 375, 101, 494, 601, 562
• LCM of 443, 263, 469, 216, 129
• LCM of 717, 824, 280, 576, 749

1. What is the LCM of 306, 889, 442, 508, 517?

Answer: LCM of 306, 889, 442, 508, 517 is 3656681028.

2. How to calculate the LCM of 306, 889, 442, 508, 517?

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, 889, 442, 508, 517.

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}.