Given numbers are 912,138,217,596

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

The LCM of 912,138,217,596 is 678217008.

Find LCM of 912,138,217,596 with Prime Factorization

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

2 x 2 x 3 x 76 x 23 x 217 x 149 = 678217008

Therefore, the lowest common multiple of 912,138,217,596 is 678217008.

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.

912 x 138 x 217 x 596 = 16277208192

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

138 : 1, 2, 3, 6, 23, 46, 69, 138

217 : 1, 7, 31, 217

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,138,217,596, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

138:2x 3x 23

217:7x 31

596:2x 2x 149

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 3 = 24

Therefore, the value for common factors is 24.

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 = 16277208192/(1x24)

LCM = 16277208192/24

LCM = 678217008

Thus, we can understand that the LCM of 912,138,217,596 is 678217008.

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

• LCM of 755, 538, 888, 938
• LCM of 956, 896, 162, 886
• LCM of 723, 401, 841, 995
• LCM of 184, 606, 691, 603
• LCM of 179, 548, 545, 701

1. What is the LCM of 912, 138, 217, 596?

Answer: LCM of 912, 138, 217, 596 is 678217008.

2. How to calculate the LCM of 912, 138, 217, 596?

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 912, 138, 217, 596.

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}.