Given numbers are 310,756,546,638,852

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

The LCM of 310,756,546,638,852 is 34502127660.

Find LCM of 310,756,546,638,852 with Prime Factorization

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

2 x 2 x 3 x 7 x 155 x 9 x 13 x 319 x 71 = 34502127660

Therefore, the lowest common multiple of 310,756,546,638,852 is 34502127660.

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.

310 x 756 x 546 x 638 x 852 = 69556289362560

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,756,546,638,852, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

756:2x 2x 3x 3x 3x 7

546:2x 3x 7x 13

638:2x 11x 29

852:2x 2x 3x 71

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 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 69556289362560/(2x1008)

LCM = 69556289362560/2016

LCM = 34502127660

Thus, we can understand that the LCM of 310,756,546,638,852 is 34502127660.

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

• LCM of 195, 408, 327, 700, 424
• LCM of 425, 215, 505, 191, 447
• LCM of 335, 193, 647, 731, 877
• LCM of 103, 993, 279, 909, 523
• LCM of 134, 627, 712, 379, 824

1. What is the LCM of 310, 756, 546, 638, 852?

Answer: LCM of 310, 756, 546, 638, 852 is 34502127660.

2. How to calculate the LCM of 310, 756, 546, 638, 852?

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 310, 756, 546, 638, 852.

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}.