Given numbers are 861,773,217,165,720

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

The LCM of 861,773,217,165,720 is 54468857520.

Find LCM of 861,773,217,165,720 with Prime Factorization

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

3 x 5 x 7 x 41 x 773 x 31 x 11 x 48 = 54468857520

Therefore, the lowest common multiple of 861,773,217,165,720 is 54468857520.

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.

861 x 773 x 217 x 165 x 720 = 17157690118800

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

773 : 1, 773

217 : 1, 7, 31, 217

165 : 1, 3, 5, 11, 15, 33, 55, 165

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,773,217,165,720, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

773:773

217:7x 31

165:3x 5x 11

720:2x 2x 2x 2x 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.

3x 3x 5x 7 = 315

Therefore, the value for common factors is 315.

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 = 17157690118800/(1x315)

LCM = 17157690118800/315

LCM = 54468857520

Thus, we can understand that the LCM of 861,773,217,165,720 is 54468857520.

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

• LCM of 700, 810, 832, 524, 623
• LCM of 242, 475, 217, 808, 729
• LCM of 504, 423, 243, 570, 189
• LCM of 946, 959, 825, 663, 679
• LCM of 749, 701, 527, 197, 895

1. What is the LCM of 861, 773, 217, 165, 720?

Answer: LCM of 861, 773, 217, 165, 720 is 54468857520.

2. How to calculate the LCM of 861, 773, 217, 165, 720?

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 861, 773, 217, 165, 720.

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}.