Given numbers are 591,994,728,142,678

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

The LCM of 591,994,728,142,678 is 3451879704.

Find LCM of 591,994,728,142,678 with Prime Factorization

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

2 x 3 x 7 x 71 x 197 x 1 x 52 x 1 x 113 = 3451879704

Therefore, the lowest common multiple of 591,994,728,142,678 is 3451879704.

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.

591 x 994 x 728 x 142 x 678 = 41174021109312

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.

591 : 1, 3, 197, 591

994 : 1, 2, 7, 14, 71, 142, 497, 994

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,994,728,142,678, is 1.

Now, the common factors can be found like this.

591:3x 197

994:2x 7x 71

728:2x 2x 2x 7x 13

142:2x 71

678:2x 3x 113

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 7x 71 = 11928

Therefore, the value for common factors is 11928.

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 = 41174021109312/(1x11928)

LCM = 41174021109312/11928

LCM = 3451879704

Thus, we can understand that the LCM of 591,994,728,142,678 is 3451879704.

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

• LCM of 375, 931, 638, 369, 772
• LCM of 712, 773, 866, 370, 177
• LCM of 727, 945, 833, 147, 634
• LCM of 487, 369, 499, 136, 345
• LCM of 210, 199, 150, 632, 503

1. What is the LCM of 591, 994, 728, 142, 678?

Answer: LCM of 591, 994, 728, 142, 678 is 3451879704.

2. How to calculate the LCM of 591, 994, 728, 142, 678?

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 591, 994, 728, 142, 678.

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}.