Given numbers are 678,566,921,936,135

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

The LCM of 678,566,921,936,135 is 137838444120.

Find LCM of 678,566,921,936,135 with Prime Factorization

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

2 x 3 x 3 x 113 x 283 x 307 x 52 x 15 = 137838444120

Therefore, the lowest common multiple of 678,566,921,936,135 is 137838444120.

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 566 x 921 x 936 x 135 = 44659655894880

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

566 : 1, 2, 283, 566

921 : 1, 3, 307, 921

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,566,921,936,135, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

566:2x 283

921:3x 307

936:2x 2x 2x 3x 3x 13

135:3x 3x 3x 5

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 44659655894880/(1x324)

LCM = 44659655894880/324

LCM = 137838444120

Thus, we can understand that the LCM of 678,566,921,936,135 is 137838444120.

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

• LCM of 243, 681, 990, 200, 114
• LCM of 525, 309, 802, 269, 459
• LCM of 593, 893, 344, 686, 223
• LCM of 596, 538, 669, 599, 610
• LCM of 621, 249, 569, 225, 929

1. What is the LCM of 678, 566, 921, 936, 135?

Answer: LCM of 678, 566, 921, 936, 135 is 137838444120.

2. How to calculate the LCM of 678, 566, 921, 936, 135?

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, 566, 921, 936, 135.

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}.