Given numbers are 678,558,546,327,408

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

The LCM of 678,558,546,327,408 is 42529418568.

Find LCM of 678,558,546,327,408 with Prime Factorization

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

2 x 3 x 113 x 93 x 91 x 109 x 68 = 42529418568

Therefore, the lowest common multiple of 678,558,546,327,408 is 42529418568.

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.

678 x 558 x 546 x 327 x 408 = 27559063232064

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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

327 : 1, 3, 109, 327

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,558,546,327,408, is 3.

Now, the common factors can be found like this.

678:2x 3x 113

558:2x 3x 3x 31

546:2x 3x 7x 13

327:3x 109

408:2x 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 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 27559063232064/(3x216)

LCM = 27559063232064/648

LCM = 42529418568

Thus, we can understand that the LCM of 678,558,546,327,408 is 42529418568.

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

• LCM of 353, 639, 356, 231, 304
• LCM of 429, 145, 267, 898, 916
• LCM of 775, 909, 776, 268, 135
• LCM of 657, 615, 297, 496, 946
• LCM of 722, 528, 780, 517, 282

1. What is the LCM of 678, 558, 546, 327, 408?

Answer: LCM of 678, 558, 546, 327, 408 is 42529418568.

2. How to calculate the LCM of 678, 558, 546, 327, 408?

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 678, 558, 546, 327, 408.

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}.