Given numbers are 928,416,546,849

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

The LCM of 928,416,546,849 is 71696352.

Find LCM of 928,416,546,849 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 13 x 29 x 1 x 7 x 283 = 71696352

Therefore, the lowest common multiple of 928,416,546,849 is 71696352.

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 416 x 546 x 849 = 178954094592

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,416,546,849, is 1.

Now, the common factors can be found like this.

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

416:2x 2x 2x 2x 2x 13

546:2x 3x 7x 13

849:3x 283

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 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 178954094592/(1x2496)

LCM = 178954094592/2496

LCM = 71696352

Thus, we can understand that the LCM of 928,416,546,849 is 71696352.

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

• LCM of 394, 371, 392, 888
• LCM of 433, 407, 802, 800
• LCM of 758, 801, 465, 541
• LCM of 715, 107, 264, 624
• LCM of 426, 314, 142, 863

1. What is the LCM of 928, 416, 546, 849?

Answer: LCM of 928, 416, 546, 849 is 71696352.

2. How to calculate the LCM of 928, 416, 546, 849?

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, 416, 546, 849.

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}.