Given numbers are 789,102,172,755

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

The LCM of 789,102,172,755 is 1741812180.

Find LCM of 789,102,172,755 with Prime Factorization

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

2 x 3 x 263 x 17 x 86 x 755 = 1741812180

Therefore, the lowest common multiple of 789,102,172,755 is 1741812180.

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.

789 x 102 x 172 x 755 = 10450873080

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.

789 : 1, 3, 263, 789

102 : 1, 2, 3, 6, 17, 34, 51, 102

172 : 1, 2, 4, 43, 86, 172

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,102,172,755, is 1.

Now, the common factors can be found like this.

789:3x 263

102:2x 3x 17

172:2x 2x 43

755:5x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10450873080/(1x6)

LCM = 10450873080/6

LCM = 1741812180

Thus, we can understand that the LCM of 789,102,172,755 is 1741812180.

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

• LCM of 418, 809, 104, 642
• LCM of 709, 957, 919, 820
• LCM of 171, 496, 529, 594
• LCM of 172, 616, 499, 181
• LCM of 600, 387, 773, 299

1. What is the LCM of 789, 102, 172, 755?

Answer: LCM of 789, 102, 172, 755 is 1741812180.

2. How to calculate the LCM of 789, 102, 172, 755?

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 789, 102, 172, 755.

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}.