Given numbers are 546,617,519,816

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

The LCM of 546,617,519,816 is 7926159696.

Find LCM of 546,617,519,816 with Prime Factorization

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

2 x 3 x 91 x 617 x 173 x 136 = 7926159696

Therefore, the lowest common multiple of 546,617,519,816 is 7926159696.

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.

546 x 617 x 519 x 816 = 142670874528

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.

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

617 : 1, 617

519 : 1, 3, 173, 519

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,617,519,816, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

617:617

519:3x 173

816:2x 2x 2x 2x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 142670874528/(1x18)

LCM = 142670874528/18

LCM = 7926159696

Thus, we can understand that the LCM of 546,617,519,816 is 7926159696.

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

• LCM of 652, 990, 762, 257
• LCM of 611, 363, 109, 932
• LCM of 234, 907, 399, 233
• LCM of 759, 813, 738, 365
• LCM of 127, 600, 436, 945

1. What is the LCM of 546, 617, 519, 816?

Answer: LCM of 546, 617, 519, 816 is 7926159696.

2. How to calculate the LCM of 546, 617, 519, 816?

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 546, 617, 519, 816.

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}.