Given numbers are 678,936,162,990,173

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

The LCM of 678,936,162,990,173 is 9057442680.

Find LCM of 678,936,162,990,173 with Prime Factorization

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

2 x 3 x 3 x 113 x 52 x 9 x 55 x 173 = 9057442680

Therefore, the lowest common multiple of 678,936,162,990,173 is 9057442680.

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 936 x 162 x 990 x 173 = 17607668569920

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

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,936,162,990,173, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

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

162:2x 3x 3x 3x 3

990:2x 3x 3x 5x 11

173:173

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 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 17607668569920/(1x1944)

LCM = 17607668569920/1944

LCM = 9057442680

Thus, we can understand that the LCM of 678,936,162,990,173 is 9057442680.

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

• LCM of 493, 897, 246, 241, 546
• LCM of 127, 453, 665, 105, 388
• LCM of 358, 839, 281, 770, 700
• LCM of 532, 632, 568, 399, 337
• LCM of 558, 469, 869, 922, 957

1. What is the LCM of 678, 936, 162, 990, 173?

Answer: LCM of 678, 936, 162, 990, 173 is 9057442680.

2. How to calculate the LCM of 678, 936, 162, 990, 173?

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, 936, 162, 990, 173.

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}.