Given numbers are 546,459,391,739,879

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

The LCM of 546,459,391,739,879 is 416029348098.

Find LCM of 546,459,391,739,879 with Prime Factorization

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

3 x 17 x 182 x 9 x 23 x 739 x 293 = 416029348098

Therefore, the lowest common multiple of 546,459,391,739,879 is 416029348098.

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 459 x 391 x 739 x 879 = 63652490258994

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

391 : 1, 17, 23, 391

739 : 1, 739

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,459,391,739,879, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

459:3x 3x 3x 17

391:17x 23

739:739

879:3x 293

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 63652490258994/(1x153)

LCM = 63652490258994/153

LCM = 416029348098

Thus, we can understand that the LCM of 546,459,391,739,879 is 416029348098.

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

• LCM of 111, 779, 261, 653, 856
• LCM of 831, 369, 214, 152, 137
• LCM of 464, 132, 995, 758, 434
• LCM of 833, 111, 771, 214, 312
• LCM of 550, 422, 850, 967, 535

1. What is the LCM of 546, 459, 391, 739, 879?

Answer: LCM of 546, 459, 391, 739, 879 is 416029348098.

2. How to calculate the LCM of 546, 459, 391, 739, 879?

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, 459, 391, 739, 879.

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}.