Given numbers are 928,447,642,517,306

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

The LCM of 928,447,642,517,306 is 1170307521504.

Find LCM of 928,447,642,517,306 with Prime Factorization

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

2 x 3 x 464 x 149 x 107 x 517 x 51 = 1170307521504

Therefore, the lowest common multiple of 928,447,642,517,306 is 1170307521504.

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.

928 x 447 x 642 x 517 x 306 = 42131070774144

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

447 : 1, 3, 149, 447

642 : 1, 2, 3, 6, 107, 214, 321, 642

517 : 1, 11, 47, 517

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,447,642,517,306, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

447:3x 149

642:2x 3x 107

517:11x 47

306:2x 3x 3x 17

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 42131070774144/(1x36)

LCM = 42131070774144/36

LCM = 1170307521504

Thus, we can understand that the LCM of 928,447,642,517,306 is 1170307521504.

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

• LCM of 858, 868, 901, 377, 946
• LCM of 199, 505, 690, 938, 502
• LCM of 174, 999, 845, 830, 686
• LCM of 975, 227, 856, 321, 814
• LCM of 897, 578, 142, 493, 947

1. What is the LCM of 928, 447, 642, 517, 306?

Answer: LCM of 928, 447, 642, 517, 306 is 1170307521504.

2. How to calculate the LCM of 928, 447, 642, 517, 306?

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 928, 447, 642, 517, 306.

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}.